Writing and Graphing Inequalities
Solutions of Inequalities
Solving 2-Step Inequalities
Graphing
Name the Symbols
100

Emily says: “I think the amount of marbles in the bag is less than 50.”  

Write an inequality to show Emily's statement, using m for the amount of marbles.

What is m < 50? 

100

Name all the numbers that are solutions to the inequality x > -5 


10            -2           5          0         -6        -8



What is 10, 5, 0 and -2?

100

Solve for x if:  x/3 - 6 > 14

What is x > 60?

100

Graph the inequality: x > 3 

What is an open circle on 3 and an arrow pointing to the right? 

100

>

What is greater than 

200

Aujah says, "The amount of marbles in the bag is more than 45.”  

Write an inequality to show Aujah's statement, using m  for the number of marbles.

What is m > 45 ?

200

Which numbers are solutions for the inequality: x > 71 ?

(Hint: If you get stuck, consider drawing a number line to help you.)

100         93        75          53.5        55        89.5

What is 100, 93, 75 and 89.5?

200

Solve for h if:   -2h + 11 >_ 17

What is h <_ -3?

200

Graph the inequality: x >_ 2.

What is a closed circle on the 2 with the arrow pointing to the right?

200

<

What is less than

300

If Lucas thinks there are at least 30 pieces of candy in a bag and Hudson thinks there is at most 45 pieces of candy in the bag. 

Would they agree that there could be 40 pieces of candy in the bag?  

What is Yes?

300

A ride at Six Flags has a minimum height requirement of 40 inches and a maximum height requirement of 65 inches. 

Pick any possible solution. 

What is any number from 40-65 (including 40 and 65)?

300

Solve for x if:  -15 - 4x < -43.

What is x > 7?

300

Graph the inequality t <_ -3.

What is a closed circle on -3 with an arrow pointing to the left?

300

 =

What is the equal sign? 

400

Aaron says: “I think the number of pieces of candy in the bag is at least 53.” 

Write an inequality to show Aarons' statement, using p for the number of pieces of candy.

What is p >_ 53?


400

The temperature for freezing is 32 degrees F. Write the temperatures for freezing as an inequality. 

What is t <_ 32 degrees F?

400

Solve for x if:  13x - 5 >_ 34.

What is x >_ 3?

400

Graph the inequality: 

x<=-3

What is a closed circle on -3 and an arrow pointed to the left?

400

<=

What is less than or equal to

500

Drew says that the inequalities, p > 63 and p < 85 describe the amount of people at an art fair.  

What do the inequalities tell us about the amount of people at an art fair?


What is there are at least 63 people at the art fair but no one than 85 people? 

 



500

To enter the party, you must be over 18 years old. 

Write that as an inequality. 

What is x > 18? 

500

Solve for x if:  x/-2 + 4 > -8.

What is x < 24?

500

Graph the following inequality: x > -12. 

What is an open circle on -12 and the arrow pointed to the right? 

500

>=

What is the greater than or equal to symbol?

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