Use the form |x-b|<=c or |x-b|>=c to write an absolute value inequality that has the solution set -1<=x<=3.

Answers

Answer 1

An absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

What is the solution set for an inequality?

The set of values of the variable involved in the inequality for which the considered inequality holds true is called the solution set for that inequality.

We've to find an absolute value inequality that has the solution set

-1 <= x <= 3

1+2 = 3

and 1 - 2 = 3

Therefore, we can rewrite the considered inequality as:

1-2 <= x <1+2

Subtracting 1 from all the sides:

-2 <= x-1 <= 2

This is written as:

|x-1| <= 2 (it is because [tex]|x| \leq a \leftrightarrow-a \leq x \leq a[/tex] )

Thus, an absolute value inequality that has a solution set -1<=x<=3 is |x-1| <= 2

Learn more about absolute value inequality here:

https://brainly.com/question/14462628


Related Questions

please help me with this question i will put an image

Answers

The 9 in position B has a value that is 100 times the value of the 9 in position D.
The 3 in position E has a value that is 1/100 times the value of the 3 in position C.

Figure ABCD below is transformed to obtain figure A''B''C''D'':

A coordinate grid is shown from negative 6 to 6 on both axes at increments of 1. Figure ABCD has A at ordered pair negative 4, 4, B at negative 2, 2, C at negative 2, negative 1, D at negative 4, 1. Figure A double prime B double prime C double prime D double prime has A double prime at ordered pair 4, 1, B double prime at 2, negative 1, C double prime at 2, negative 4, D double prime at 4, negative 2.

Part A: Write the sequence of transformations that changes figure ABCD to figure A''B''C''D''. Explain your answer and write the coordinates of the figure obtained after each transformation. (6 points)

Part B: Are the two figures congruent? Explain your answer.

Answers

Answer:

Reflected along x axis

Translated 7 units to the right

A transformation of a point is the movement of the point from its initial position to a new position. If an object is transformed, all its points are also transformed. Types of transformation are reflection, rotation, dilation and translation.

Figure ABCD has A at (- 4, 4), B at (- 2, 2), C at (- 2, - 1), D at (- 4, 1).

If a point (x, y) is reflected along the x axis, its x coordinate remains the same and the y coordinate is opposite (negated). The new point is at (x, -y)

If a point (x, y) is translated h units to the right, the new coordinate is (x+h, y).The transformation are as follows:

It is reflected along the x axis so that the new coordinates would be at A1 at (- 4, -4), B1 at (- 2, -2), C1 at (- 2, 1), D1 at (- 4, -1)

It is translated 7 units to the right, The new coordinates are A' at (3, -4), B' at (5, -2), C' at (5, 1), D' at (3, -1)

Step-by-step explanation:

Ellen draws a square on a coordinate plane. One vertex is located at (5, 5). The length of each side is 3 units. Which of the following ordered pairs could be another vertex?

Group of answer choices

(1, 8)

(8, 5)

(2, 4)

(7, 5)

Answers

Answer:

(8, 5)

Step-by-step explanation

By adding or subtracting three to either the x or why coordinate of the given point, you can achieve any of the four vertexes of the square.

(8, 5) If you go three spaces to the right on the x-axis, then the point is (8, 5).

this math is too hard for me

Answers

The answer to your question

1=105

2=75

m1= 105
m2= 75
this is because the angles together equal 180 nd since c and d the same…yk self explanatory

help pls! brainlist if u help

Answers

Answer:

(-2, -8)

(-1, -1)

(1, 1)

(2, 8)

Have an amazing day!

Please rate and mark brainliest!

Here’s 50 points, question is in the attachment below!

Answers

They want to use the numbers 0-9

Count the number of timers a color shos on the wheel and assign 1 number for each time the color shows:

Blue shows 4 times so you would assign blue the numbers: 0,1,2,and 3

There are 3 yellows so you would assign that 4, 5, and 6

There are 2 reds so , 7 and 8

and 1 green would be 9

Answer is D.

Answer is D there you go, your welcome!

Interpreting linear expressions
5 stars if answer is correct

have a splendid day

Answers

Answer:

Total number of kilometers in the ride = k

Number of kilometers Garret has already biked = 5

Number of kilometers left in the ride = 5-k

Number of minutes Garret takes per kilometer = 4

Therefore, the image shown is correct.

WILL CHOOSE BRAINLIEST!!!

Answers

Answer:

D. 9.296 x 10^7 mi

Step-by-step explanation:

The distance from Earth to Sun is around 93,000,000 miles.

This can also be written as 9.296 x 10^7 in scientific notation.

brainliest if it is right

Answers

Answer:

between 2 minutes and 4 minutes

Step-by-step explanation:

that part of the graph looks flat

Answer:

not positve but pretty sure the answer is she drove at a constant speed between 2 and 4.

Step-by-step explanation:

its the inly straight spot on the graph

please answer of 6 of these but if you do then you get brainliest but answer all 6 and show the work on how to do it also for each problem

Answers

5. r×2×pi

7km×2×pi=43.98km

6. d×pi

20cm×pi=62.83cm

7. d×pi

8.5m×pi=26.70m

8. r×2×pi

11yd×2×pi=69.12yd

9. d×pi

6(2/5)ft×pi=20.11ft

10. r×2×pi

25in×2×pi= 157.08in

If the circumference of a circle is 11 pi, what is the area?

Answers

Answer:

So our answer in pi form is 30.25π

Step-by-step explanation:

The circumference of a circle is given by the formulas :

[tex]2\pi r[/tex] or [tex]\pi d[/tex]  where r is radius and d is the diameter

Since

11π = 2πr

We can solve for r to use it in the area of a circle formula:

[tex]\frac{11\pi }{2\pi } = r[/tex]

r = 5.5

The area of a circle is given by the formula:

[tex]\pi r^{2}[/tex] where r is the radius/.

Since we found r we can find the area:

π(5.5)² = 30.25π

So our answer in pi form is 30.25π

Answer:

As you have not specified the format in which to give the answer, I am giving three ways of writing it:

[tex]\sf 30.25 \pi \ units^2[/tex]

[tex]\sf \dfrac{121}{4} \pi \ units^2[/tex]

95.03 units² (nearest hundredth)

Step-by-step explanation:

Formulae

Circumference of a circle = 2πrArea of a circle = πr²

(where r is the radius)

Given:

circumference = 11π

Therefore, use the given value and the circumference equation to find the radius:

⇒ circumference = 11π

⇒ 2πr = 11π

⇒ 2r = 11

⇒ r = 5.5

Now we have found the radius, simply substitute this into the equation for area of circle:

⇒ area of a circle = πr²

                             = π5.5²

                             = 30.25π units²

What is the length of one side of a square when it has an area of 100 inches squared?

and what is the squares perimeter?

Answers

Answer:

L = 10 in
P = 40 in

Step-by-step explanation:

The area of a square is given by the equation:

A = L²

We rearrange this equation to make L the subject:

Square root both sides:

√A = L

Now we substitute A into our rearranged equation to find L:

L = √A

L = √100

L = 10 in

The perimeter of a square is given by the equation:

P = 4L

Substitute the L we just found to find P:

P = 4(10)

P = 40 in

The perimeter of the square is 40 in

Use the model to find the product. Write the product in simplest form.

A. 1/3

B. 1/5

C. 1/15

D. 5/16

Answers

Answer:

1/3

Step-by-step explanation:

if you count every square it's 15 and you can see there is 5 rows. 5/15 is simplified to 1/3.

Answer fast and correctly for brainliest!!!!!

Answers

Answer:

B. (5,6)

Step-by-step explanation:

A dilation triples the coordinates which leads to (3,6) then you add 2 to the x value which gets you (5,6)

Please and thank you please and thank you these are the words you should say
-cooomelon

Answers

Answer:

75

Step-by-step explanation:

trust

The surface area of it is 75

HELP please Multiplication Properties of Exponents DROPBOX Part 1 (3parts)
Grade seven

Answers

Answer:

1) 2x^2   2) 2n^3 x^2    3) 4xy or 2x2y  4)2xy

Step-by-step explanation:

sorry if not correct-

I will give brainliest to the first person to answer
Rod ran 30 miles this week, which was three times as far as Joe ran this week. Joe ran 6 more miles this week than he did last week.

Answers

Answer:

Step-by-step explanation:

well 30/3 = 10 and 10-6=4 so i guess last week joe than 4 miles and this week he ran 10 miles.

30/3 = 10 miles joe ran this week (last week)
10 + 6 = 16 miles he ran this week

find the radius of the circle

Answers

the radius is 6 because 12 divided by 2 is 6

Answer:

The answer is 6 cm

Step-by-step explanation:

Given;The diameter of the circle = 12 cm.To Find;Radius of the circle.Formula;Radius = Diameter ÷ 2

Now,

Radius = Diameter ÷ 2

R = 12/2 = 6 cm

Thus, The radius of the circle is 6 cm.

PLS help I've been stuck on this for HOURS, I WILL CHOOSE BRAINLIEST

Answers

The answer in the image below should be correct
Set the system of equations
We have if x=-5 , y= 10
X=-3,y = 0
We have : y= ax+b
Substitute the value like the picture
And solve for the equations
=> a= -5, b= -15
=> y= -5x-15

SOMEONE PLEASE HELPP!!

Answers

Well if x is advertising then no advertising will be x=0 so plug it in

Y=0.1(0) +10000
Y=10000

SOMEONE PLEASE HELP!!

Answers

Answer:

#2/B

Step-by-step explanation:

It is scattered across and not shaped as a line.

The answer is the second one

Help please help me out with this (old math)

Answers

6 7/12 I hope this helps ya out

Answer: [tex]6\frac{7}{12}[/tex]

Step-by-step explanation:

[tex]\frac{34}{12} + \frac{45}{12} = \frac{79}{12}[/tex]

[tex]\frac{79}{12} = 6\frac{7}{12}[/tex]

The mailbox in his scale drawing is 7.5 centimeters tall. The scale of the drawing is 1 cm = 0.5 ft. How many feet tall is the mailbox that Sammy designed?

Answers

Answer:

3.75 feet because that is math

Step-by-step explanation:

7.5 x 0.5

Answer:

3.75

Step-by-step explanation:

7.5 x 0.5 = 3.75

You are weighing 3 boulders. 1 weighs one-quarter of a ton, 1 weighs 8,112 ounces, and 1 weighs 505 pounds.
Which one is heaviest, and which is lightest?

Answers

Answer: 8,112oz heaviest, quarter ton lightest
Work:
Quarter ton= 500 lbs
8,112 oz=507 lbs

Classify each equation as defining y as a linear or nonlinear function of x. Select one cell per column.​

Answers

Answer:

1. nonlinear

2. nonlinear

3. nonlinear

4. linear

5. linear

6. nonlinear

I think that is correct

Step-by-step explanation:

There is two ways you can do it.

1st . See if it is being multiplied, x cannot be the denominator, y cannot have a exponent and the x cannot be squared.

2nd - Use a graphing calculator and see if the line is straight, that is a linear equation and curved lines are nonlinear.

I need help on this question please

Answers

Answer:

its D because the formula to find circumference is π x d and d stands for diameter and the diameter would be 8 and π x 8 would be 25.12 and the closest is 25

Step-by-step explanation:

can i have brainliest please.

Answer:

A

Step-by-step explanation:

4/6.28318531

move decimal 2 places

Please answer, i'm timed (EDGE 2022)

Answers

Answer:

C is the correct option

Step-by-step explanation:

hope this helps.

Which right triangle’s unknown leg measure is StartRoot √43 EndRoot units? Assume the given length are in the same unit of measure.

Answers

Answer: It's D

because [tex]a^2+b^2=c^2[/tex] so [tex]c^2-b^2 =a^2\\[/tex]

The equation y=34.99x represents the total amount of money (y) that the Geocove waterpark will collect if they charge $34.99 per adult (x) for admission to their waterpark.
Name the y-intercept of this line and interpret what it means in the context of admission to the waterpark.

Answers

Answer:

The y-intercept is where the line crosses the y-axis on the graph also where x=0. In this situation the y-value is however much money the waterpark will make depending on how many adult tickets sold.

Step-by-step explanation:

find the volume of this please. ​

Answers

Answer:

336 cubic feet

Step-by-step explanation:

14*12*2

Treat it the same as a rectangular prism (box).

The Answer is 336 cubic feet
Explained
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