One Step Addition/Subtraction Inequalities
One Step Multiplication/Division Inequalities
Multi Step Inequalities
Compound Inequalities
Absolute Value Inequalities
100

Solve the inequality. Write your solution in set builder notation.

5 - t > 0

{ t | t < 5 }

or

{ t | 5 > t }

100

solve the inequality. Express the solution set in set builder notation.


4y >= 8

{ y | y >= 2 }

100

Solve the inequality. Express your solution in set builder notation. Then graph the solution set.

4(b+4)<=8

Set Builder Notation:

{b|b<=2}

100

Graph the compound inequality.

5<x<9

100

Solve for s. Express your answer in set builder notation.Then graph the solution set.

|s-6|<3

Set Builder Notation:

{s|3<s<9}

200

Solve the inequality.

8 > v + 15

{ v | v < -7 }

or 

{ v | -7 > v }

200

Solve for m. Express your solution in set builder notation.

m/5 < 2

{ m | m < 10 }

200

Solve the inequality. Express the solution in set builder notation. Then graph the solution set.

-(c-1)+9<=2

Set Builder Notation: 

{c|c>=8}

200

Solve for y. Express your solution set in set builder notation. Then graph the solution set. 

10<=y+19<=14

Set Builder Notation: 

{y|-9<=y<=-5}

200

Solve for z. Express the solution in set builder notation. Then graph the solution set.

|z-3|>3

Set Builder Notation:

{z|z>6 or z<0}

300

Which of the following are not a solution to the following inequality.

10 <= t - (-2) 

a) t = 7

b) t = 8

c) t = 9

d) t = -8

e) t = -7

The solution set is

{t | t >= 8}

therefore 7, -8, and -7 are not solutions to the inequality.

300

How many Bad Bunny Concerts has Mr. Zuniga attended?

3!

X100PRE 2019

EUTDM 2022

Un Verano Sin Ti 2022


300

Solve the inequality. Write your solution in set builder notation and graph the solution.

(a+10)/2 >8

Set Builder Notation: { a | a >6 }

300

Solve for h. Express the solution set in set builder notation. Then graph the solution.

15h+1<16 or h-1>=4

Set Builder Notation: 

{h|h<1 or h>=5}

300

Solve for x. Express your solution in set builder notation. Then graph the solution set.

|x+10|<=-10

ø

400

Write an inequality for this graph.

x<6

400

Which of the following are solutions to the following inequality. 

- f/2 <= 3

a) -5

b) -6

c) 5

d) 6

e) -7

The solution set is 

{ f | f >= -6 }

therefore the solutions are -5, -6, 5, and 6

-7 is not a solution to the inequality.

400

Solve the inequality. Write the solution set in set builder notation and graph the solution.

9(n - 9) + 10 > 1

Set Builder Notation: { n | n > 8}

400

Write a compound inequality that describes this graph.

-8<x<-5

400

Solve for t. Express your solution in set builder notation. Then graph the solution set.

|1-t|>=-2

{ t | t is all real numbers }

500

The height requirement for the Star Speed roller coaster is 54 inches. Even after growing 3 inches since last summer, Dakota is too short to ride.

Let x represent how tall Dakota was last summer. Create an inequality that describes this problem.

x + 3 > 54

500

Mr. Cervantes plans to buy 3 security cameras to install outside his donut shop. He wants to spend less than $450 on the cameras in all.

Let x represent how much Mr. Cervantes wants to spend on each camera. Which inequality describes the problem?

3x < 450

500

Solve the inequality. Express your solution in set builder notation. Then graph the solution set. 

2(v+9)+48>78

Set Builder Notation:

{v|v>6}

500

Write a compound inequality that describes the graph.

x<=2 or x>5

500

To ride a roller coaster, people must be within 5 inches of a height of 66 inches. 

Write and solve an absolute value inequality that models and finds the minimum and maximum heights to ride the roller coaster. 

Absolute value inequality:

|h-66|<=5

Solution set:

{h|61<=h<=71}


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