Solve for x: 1 < x + 3 < 4

4 > x > 7
4 < x < 7
−2 > x > 1
−2 < x < 1

Answers

Answer 1

Answer:

-2 < x < 1

Step-by-step explanation:

Given inequality:

[tex]1 < x+3 < 4[/tex]

[tex]\textsf{If $a < u < b$ \;then\; $a < u$ \;and \;$u < b$}:[/tex]

Case 1

[tex]\implies 1 < x+3[/tex]

[tex]\implies 1-3 < x+3-3[/tex]

[tex]\implies -2 < x[/tex]

[tex]\implies x > -2[/tex]

Case 2

[tex]\implies x+3 < 4[/tex]

[tex]\implies x+3-3 < 4-3[/tex]

[tex]\implies x < 1[/tex]

Combine the intervals:

[tex]-2 < x < 1[/tex]


Related Questions

50 POINTS!!! Solve all!

Answers

Answer:

3. My first guess would be that Salva looked away quickly, turning their head away from the woman quickly.

4. Make a quick, nervous movement as an instinctive reaction to fear, pain, or surprise. [Provided by Oxford Languages Dictionary]

5. My first guess would be that Salva was performing a "squat" with her lower body, which would be the haunches.

uwu hello 2019 its me future with the better memes, dat me up,hoiyah,and OH NO.... OUR TABLE!!!!! ISH BROKEN!!!!!!

Tutorial D
If x = 0 and y < 0, where is the point (x, y)
located?
◄))
on the x-axis
on the y-axis

Answers

The point is anywhere below 0 on the Y axis

Need help ASAP

logx = 7
logy = 2
logz = 5

Find log[tex]\frac{x^2\sqrt{z} }{y^3}[/tex]

Answers

Using some logarithmic properties, we will see that the solution of the logarithmic equation is 10.5

How to find the value of the logarithm?

Here we have some properties that you need to remember.

log(A*B) = log(A) + log(B)

log(A/B) = log(A)  - log(B)

log(Aⁿ) = n*log(A)

Then we can rewrite our equation as:

[log(x²) + log(√z)] - log(y³)

Now, remember that a square root is equal to an exponent of 0.5, then:

[log(x²) + log(√z)] - log(y³) = 2*log(x) + 0.5*log(z) - 3*log(y)

Now we can replace the logarithms by the given values:

2*log(x) + 0.5*log(z) - 3*log(y)

2*7 + 0.5*5 - 3*2 = 10.5

The solution of the logarithmic equation is 10.5

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Joe moves a 10 kg weight 5 meters with a force of 50 N in 10 seconds. Leroy uses the same force to move the same weight the same distance in 7.5 seconds? Who has more power and why

Answers

Answer:

10 sec

Step-by-step explanation:

The temperature in a town is 12.5°F during the day and -23.3°F at night. Find the difference in the temperatures.

Answers

Answer:

Explanation

temperature in a town during day=12.5The temperature in a town is 12.5°F

temperature at night is -23.3°F

difference -23.3°F+12.5°F

=. -10.8

The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the _____.

Answers

The part of the drawing that shows information about scale, the date of the last revision, and the drawing number is the balloon framing.

Where is a drawing's scale often indicated?

Here, the scale may be shown on the drawing's axes or real distances may be displayed on the axes. In other situations, a scale could employ multiple measuring units. The air velocity, for instance, might be represented by the length of an arrow on an air flow diagram, where 1 cm = 0.1 m/s.

What does balloon framing mean?

In contrast to platform framing, where each floor is framed independently, balloon framing uses studs (vertical members) that stretch the entire height of the building (often two storeys) from the foundation plate to the rafter plate.

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EASY POINTS PLEASE HELP if you can answer bother that would be nice but u can answer one if u want

Answers

Answer:

#9: B

#10: D

Step-by-step explanation:

#9 had biggest scientific notaiton

#10 had smallet scientific notaiton and numbeer

Answer:

9. B

10. D

Step-by-step explanation:

a. 5406000000

b. 56040000000

c. 550400000

d. 6503000000

a. 900000

b. 120000

c. 3010000000

d. 19010

Write an equation in standard form of a line that is parallel to y=4x-3 and passes through the point (7, 10).

Answers

The equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

What is the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10)?

Given that;

Equation of line: y = 4x - 3Point: ( 7,10 )

First, we determine the slope of the line using the slope intercept form.

y = mx + b

m is slope and b is y-intercept.

y = 4x - 3

Comparing with the slope intercept form equation,

Slope m = 4

Now, to determine the the equation of line parallel, the slopes must equal.

We find the line using the point slope formula.

y - y₁ = m(x - x₁)

Plug in m = 4, x₁ = 7, y₁ = 10 and simplify.

y - 10 = 4(x - 7)

y - 10 = 4x - 28

-10 + 28 = 4x - y

4x - y = -10 + 28

4x - y = 18

Therefore, the equation of a line that is parallel to y=4x-3 and passes through the point (7, 10) is 4x - y = 18.

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Lowest term for 6/32

Answers

Answer:3/16

Step-by-step explanation:

Simplify 6/32 in Lowest Terms

6/32 = (?)

6/32 = (2 x 3)/(2 x 2 x 2 x 2 x 2)

= 3/16

6/32 = 3/16

You have $175.29 in a savings account. You deposit an additional $48.75. How much more do you need to save to buy the cell phone?
Price: $249.99
Include the steps

Answers

Answer:

Step-by-step explanation:

So in your account you got $175.29

Then you deposit mean increase the amount of money in your account by $48.75

So: 175.29+48.75 = 224.04

The price is $249.99

So: 249.99 - 224.04 = $25.95

You need to save $25.95 in order to buy your cell phone

To buy the cellphone of worth $249.99, additional $25.95 are required.

What are mathematical operations?

Calculate the answer using a math operator is referred to as a mathematical operation.

Basic mathematical operations are addition, multiplication, subtraction and division.

Given that,

The price of cellphone = $249.99

The amount in saving account = $175.29

Additional amount deposit in account = $48.75

Total amount in account after deposit = 175.29 + 48.75 = 224.04

Since, the price of cellphone is $249.99

And the amount in account = 224.04

So the more amount required = 249.99 - 224.04 = 25.95

To buy the cell phone $25.95 are required.

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Use the following information to find x. Write the value of the variable.

B is between A and C;

AB=3x+6;
BC=15x – 2; and
AB≅BC .

Answers

Answer:

2/3

Step-by-step explanation:

[tex]AB \cong BC \implies AB=BC \\ \\ 3x+6=15x-2 \\ \\ 6=12x-2 \\ \\ 8=12x \\ \\ x=\frac{2}{3}[/tex]

ASSOCIATIVE PROPERTIES
COMMON CORE ALGEBRA I HOMEWORK
FLUENCY
Combine the expressions below. Replace subtraction by addition of opposites, if needed.
(a) 7x+3+6x+11
(b) 12x+10+3+8x
(c) 10y+12-7y-8-3y

Answers

What is an associative property?

According to the associative property, if three or more integers are classified differently, the total or product does not change. It is possible to apply this associative characteristic to addition and multiplication. Both (A + B) + C = A + (B + C) and (A + B) C = A + (B C) are used to represent it.In accordance with the associative property, it is irrelevant how the integers are grouped when adding or multiplying them, i.e., where the parenthesis are placed.

Given expressions with rearrangement as per associative property are:

(a) 7x+3+6x+11

  =(7x+6x)+(3+11)

(b) 12x+10+3+8x

  =(12x+8x)+10+3

(c) 10y+12-7y-8-3y

 =(10y-7y-3y)-(-12+8)

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Need help ASAP please !!!!

Answers

Answer:

The answer is D.

Step-by-step explanation:

"
Question
Normal
Shane earns $8 per hour babysitting and $6 per hour walking dogs. He also earns tips for each job. Last week Shane spent 2 more hours walking dogs than babysitting. He received $12 in tips for babysitting and
$10 in tips for dog-walking. Shane earned the same total amount for each job.
Write an equation to represent the situation. Use the variable h to represent the number of hours Shane spent babysitting

Answers

The equation to represent the situation is given as $2h -$10 = 0

We have been given that

    Money earned by Shane for babysitting =  $8 per hour

    Money earned by Shane for walking dogs = $6 per hour

Let the number of hours spent by Shane be h hours

Tips she received for babysitting = $12

Tip she received for walking dogs = $10

Total amount earned by Shane for babysitting = $8*h + $12

Also Shane worked two more hours for walking dogs then the amount will be = 2*$6 = $12

Total amount earned by Shane for walking dogs = $6*h + $12 + $10

                                                                                  = $6h + $22

As she earned the same total amount of job the equation will be given as

  $8h + $12 = $6h + $22

  $2h -$10 = 0

Which is the required equation

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Solve (8×5)÷4×5 step by step

Answers

Answer:

50

Step-by-step explanation:

Apply PEMDAS to this problem

8 × 5 = 40

Now you are left with: 40÷4×5

You then use PEMDAS from left to right from here

So 40 ÷ 4 would be 10, and now you are left with 10 × 5, which would be 50.

Here you have to apply bodmas .
Firstly,you would have to to do bracket first, so it will be 8 times 5 which is equal to 40. After this you would divide by 4,so it will be 40 divided by 4 which is equal to 10, after applying this you would have to multiply 10 by 5 which is equal to 50.

Which number below is more than 15 but less than 16?
O√225
O√247
O √256
O √265

Answers

Answer: √247

Step-by-step explanation:

15^2=225. 16^2=256. n=number

n^2>225 and n^2<256

√225=15.

√247=15.7 ==> 2nd option. 247>225 and 247<256. 15.7>15 and 15.7<16

√256=16

√265=16.3

algebra 1
where can parentheses be placed so that it has a value of 26?
4 + 12 • 14 – 3

Answers

The expression becomes 4 + 2*(14-3) to get the answer value of the 26.

According to the statement

We have to find that the parentheses of the given expression.

So, For this purpose, we know that the

Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations.

From the given information:

The expression is :

4 + 2 * 14 – 3

Then rearrange it to get the answer value of 26.

For this use associative property

then

it will become and Written like this    

4 + 2*(14-3)

4 + 2*(14-3)  = 4 + 2*11

4 + 2*(14-3)  = 4 + 22

4 + 2*(14-3) = 26

So, The expression becomes 4 + 2*(14-3) to get the answer value of the 26.

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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities include those listed


2(multiplicity 2) 5+i (multiplicity 1)

Answers

The polynomial function will be y = (x⁴-14x³+70x²-144x+104)

2 and 5+i are the roots of the given polynomial and the multiplicity of 2 and 5+i are 2 and 1 respectively.

Thus, the general form of the polynomial will be given as:

y = (x-2)² (x-(5+i)) (x-(5-i))                                  [as (5-i) is conjugate of (5+i)]

y = (x²+4-4x) (x-5-i) (x-5+i)

y = (x²-4x+4) (x²-5x+xi-5x+25-5i-xi+5i-i²)

y = (x²-4x+4) (x²-10x+25+1)                                            [as i²= -1]

y = (x²-4x+4) (x²-10x+26)  

y = (x⁴-10x³+26x²-4x³+40x²-104x+4x²-40x+104)

y = (x⁴-14x³+70x²-144x+104)

Thus, the polynomial is y = (x⁴-14x³+70x²-144x+104)

                                                   

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Writing Numerical Expressions
A numerical expression is a mathematical phrase that contains only numbers and mathematical operations. For example, 6+2+1 is a numerical
expression.
Some numerical expressions contain multiplication. Multiplication can be represented in several ways, including a raised dot or parentheses. Here are
some ways to represent the product of 2 and 3.
2.3
2(3)
Think About It!
Identify the factors of the numerical expression 6(11).
(2)3 (2)(3)
MO

Answers

6(11) = 2 x 3 x 11

Its factors are =1 ,2 ,3 , 6, 11, 22, 33 66

2.3 = 2 x 3

Its factors are = 1, 2, 3, 6

2( 3) = 2 x 3

Its factors are = 1, 2,3, 6

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Which of the following shows double the sum of 8 and 4?
a. 2 *8 +4
b. 2(8 + 4)
C. 2*8-4
d. 2(8-4)

Answers

Answer:

C

Step-by-step explanation:

Rearrange the formula c=4/a-b to make a the subject

Answers

Answer:

[tex] a = \dfrac{4 - bc}{c} [/tex]

Step-by-step explanation:

c = 4/(a - b)

Multiply both sides by a - b.

c(a - b) = 4

ac + bc = 4

ac = 4 - bc

a = (4 - bc)/c

[tex] a = \dfrac{4 - bc}{c} [/tex]

Please HELP! what is −1/4 ⋅ (−6/11)?

Answers

The answer to your question is,……….7/11

Answer:

[tex] \frac{3}{22} [/tex]

or 0, 14 rounded off to two dp

A plot of land is in the shape of a triangle
If one side is x meters, a second side is
(2x - 4) meters and a third side is
(4x - 5) meters, express the perimeter of
the lot as a simplified expression in x.

Answers

Answer:

7x-9

Step-by-step explanation:

P=x+(2x-4)+(4x-5)

P= x+2x-4+4x-5

P =x+6x-9

P =7x-9

P is perimeter

Simon invested $2600 into a simple interest account for 2 years if account yielded $234 at the end of two year what was the interest rate write your answer as a percent

Answers

Answer:

4.5%

Step-by-step explanation:

I = prt

234 = 2600 × r × 2

r = 234/5200

r = 0.045

r = 4.5%

Answer:

4.5%

Step-by-step explanation:

$234 is interest for 2 years

interest for 1 year will be 234/2 = 117

117/2600 = 0.045 which is 4.5%

the perimeter of a rectangle is 260cm the length is 50 less than its width. find its dimensions

Answers

The dimensions of the rectangle is found as: (b = 90 cm) and (l = 40 cm

).

What is defined as the perimeter of the rectangle?The perimeter (P) of such a rectangle has been the total length of all of its sides. A rectangle does have two equal lengths as well as two equal widths because its opposite sides are equal. The perimeter of a rectangle is calculated as follows: perimeter = length + length + width + width

Let 'l' be the length of the rectangle.

Let 'b' be the width of the rectangle.

then,

Perimeter = 2(l + b)

The given value of the perimeter = 260 cm.

The length is 50 less than the width.

Thus, l = b - 50.

Put the values in the formula;

260 = 2( b - 50 + b)

Simplify the equation;

260 = 4b - 100

4b = 360

b = 90 cm

Put the value of b in the length;

l = b - 50

l = 90 - 50

l = 40 cm

The dimension are estimated as; (l = 40 cm) and (b = 90 cm).

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28. RS = 7a, ST= 12a, RT=76

Answers

Answer:

a=4

ST=48

As we know ,

RT=RS+ST=7a+12a=19a

And RT=76

That’s why RT=19a=76 => a = 76/19=4

ST=12a=12*4=48

then we find ,

a=4

ST=48

In geometry, variables often appear in problems related to perimeter, area and volume. Typical problems provide you with some precise measurements and ask you to find out an unknown measurement, or variable.

Determine which formula you need. For example, if you're working with the area of a triangle, you need to know that area equals one half the base times the height, or A=1/2bh.

Plug the known values into the formula. Using the area of the triangle example, assume you know that the area is 100 square inches and the base is 20 inches. When you plug these values into the formula, you get 100=1/2 (20h). The height of the triangle is the variable.

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Michael is planning a trip to Hooperville. On the map, it is 3.5 inches from his home town. The map’s scale is 1.5 inches : 50 miles. How far away is Hooperville from his home town?

Answers

The real distance between Hooperville and Michael's home town is 116.667 miles.

How to use scales to estimate distances

Scales are ratios commonly used to contain great extensions of land in images and maps and offer a quick though efficient manner to estimate distances. The real distance between Hoopersville and Michael's home town can be found thorugh this formula:

d' = d / r      

Where:

r - Scale, in inches per miled - Reduced distance, in inchesd' - Real distance, in miles

If we know that d = 3.5 in and r = 1.5 in / 50 mi, then the real distance between Hooperville and Michael's hown town is:

d' = 3.5 in / (1.5 in / 50 mi)

d' = 116.667 mi

The real distance between Hooperville and Michael's home town is 116.667 miles.

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in 5-8, find each reciprocal. 5/9 8 7/3 1/12​

Answers

the answer

155

324

5/9 (87/3(1/12)= 155/324

URGENT PLS IM DESPERATE!!! IT'S DUE IN 35 MINUTES!!! Write an equation for each table, graph, and verbal description. (A) Table of X and Y values. When X is 1, Y is 9. When X is 2, Y is eighteen. When X is 3, Y is twenty-seven. When X is 4, Y is thirty-six. y = x (B) First quadrant of a coordinate plane. The points 0 comma 0, 2 comma 5, 4 comma ten, 6 comma fifteen, 8 comma twenty, and ten comma twenty-five are graphed and connected with a line. y = x (C) Each hour, Milo reads 24 pages. y = x

Answers

Your answer will be:

y = 9x

y = 2.5x

y = 24x

I hope this helps!

HELP PLS TEACHER GONNA FAIL ME ​

Answers

Answer:

B and D

Step-by-step explanation:

Other Questions
HELPP I AM STUCK IN THIS PROBLEM AND NEED IT BY TMR!! Step 1: Choose a CareerPick a career that interests you from one of the creative career clusters:Arts, Audio/Video Technology, and CommunicationsHospitality and TourismMarketing, Sales, and ServiceTo help you choose a career to focus your speech on, you could review the lessons, brainstorm with a friend, or search for a term such as hospitality careers or arts career pathways online.Step 2: Research the CareerResearch the career. And if you know someone who works in this career, you might want to ask them questions!Find the answers to these questions and record them in a word processing document:What kinds of daily tasks do people in this career do?What are the working conditions like for this career?What is the average salary or hourly wage for this career?What benefits do people typically get with this career?Are people in this career usually employees, freelancers, or entrepreneurs?Why did you choose to investigate this career?Step 3: Draft Your SpeechOpen a word processing document and write a script for your speech. It should describe the most important and interesting information you found. Use the bulleted items in Step 2 to guide you. Your speech should be around 300 words long.Step 5: Reflect on Your WorkOpen a new word processing document and answer the following questions:Are you interested in the career cluster you researched? Why or why not?If so, what strengths or experience do you have that would help you work in this cluster?What can you add to your career portfolio that demonstrates your strengths related to this cluster? If any. Assigning humans to discrete categories supposedly based on common ancestry is known as ______ and was once a main way that scientists approached human biological diversity. Two children weigh 160 pounds together the oldest weighs 120 pounds more how much do they each weigh The study of diseases of the urinary system is ____logy; the word part you chose is a _________. group of answer choices 1) 6 - 4 = 5 - 11 ; ??2) 0,3( -2) = 0,6 + 0,2(+4) ; ?? Blood typing is based on the presence of proteins known as ____________ on the outer surface of the erythrocyte plasma membrane. The heights of young women are approximately normal with mean 64.5 inches and standard deviation 2.5 inches. what are the deciles of this distribution? Smallpox was once endemic in india and africa, where there were low frequencies of the allele for type a blood. what did this suggest to scientists? Nder the flsa, what information concerning employees' wages must be maintained by the employer? When goods are delivered to a buyer via a common carrier, such as a trucking line, it is known as ________. The more time annie devoted to studying, the better her scores on exams. this fact illustrates a(n):_________ Why is isopropyl alcohol a pure substance? How many ounces of a 12% alcohol solution must be mixed with 9 ounces of a 20% alcohol solution to make a 16% alcohol solution? Suppose that the x-intercepts of the graph of y = f(x) are -5 and 3. . a) What are the x-intercepts of the graph of y = 7f(x)? When readers post comments on your blog, which guidelines should you follow when you respond? BRO PLEASE HELP PLEASEEPreamble to the U.S. Constitution"We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America."Furthermore, I have reviewed the Preamble and would like to explain two reasons why it is important. I will describe and explain these reasons below.Reason #1:Reason #2: One pipe can fill a tank in 8 minutes, a second can fill it in 12 minutes and a third can fill itin 24 minutes. If the tank is empty how long will it take the three pipes, operating together,to fill it? What is the slope of the line that passes through the points (4, -6) and (-2, 3)?Write your answer in simplest form. match each example to the purpose of government Tilesprovide justicePairsmaintain orderIf someone exceeds the speed limiton a highway, they pay a fine.Citizens may put a political bumper.sticker on their car.In a two-person car accident,one driver may sue the other in court.Citizens drive their vehicleson freshly paved roads.provide servicesprotect freedoms