Translating Inequalities
Inequality Word Problems
One-step inequalities
Two-step inequalities
Random
100

x is greater than -9

x > -9 

100

At Cindy's Sweet Treats, cookies are packaged in boxes of 8. Depending on the cookie flavor, the most a box can cost is $16.

8x ≤ 16

100

k + 2 ≥ 26

k ≥ 24

100

-k/3 < -4

k > 12

100

What do you do when you divide by a negative 

flip the sign 

200

-7 < x

-7 is less than x 

200

In the first week of her school's fundraiser, Julie sold 6 items. By the end of the fundraiser, Julie had earned a beach ball as a prize for selling more than 20 items.

6 + x > 20

200
L -4 < -19

L < -15

200

2Y - 17 ≤ 1

y ≤ 9

200

Open dot vs. close dot, what is the difference? 

greater than and less than is open 

Greater than or equal to and less than or equal to is closed

300

k is less than or equal to 0

k ≤ 0 

300

Sue made a goal for the amount of time she wants to practice her tuba this week. She divided her goal equally among the 4 days she is going to practice. Sue figured that she should practice for more than 75 minutes each day to meet her goal.

x/4 > 75

300

m/3 ≥ 2

m ≥  6

300

-12 > -3c + 6

6 < c

300

-10x + 9 > 2 - 3x 

1 < x

400

-17 > c 

-17 is less than c

400

Emilia went to a garage sale and decided to buy some books. Each book cost $2. She liked so many of the books that she went over her $10 budget.

2x>10

400

v/3 < 3 

v < 9

400

5y + 2y > 49

y > 7

400

round 0.25 to the nearest tenth

0.3

500

-0.4  ≥ x 

-0.4 is greater than or equal to x

500

Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls.

12x > 36

500

-3h > -27

h < 9

500

x/9 + 5 ≤ 16

x ≤ 99

500

5 - -4 = 

9

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