Inequality Symbol
Meanings
One-Step
Inequalities
Two-Step
Inequalities
Solve and
Graph
Word Problems
(Write an inequality and Solve)
100

What is the symbol for more than?

>

100

x + 7 < 8

x < 1

100

DAILY DOUBLE 

3x - 1 ≥ 14

x ≥ 5

100

x > 9

open circle at 9, pointing right

100

Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?

x + 2 > 7

x > 5

200

What is the symbol for "less than"

<

200

b - 9 ≥ -20

b ≥ -11

200

x/2 - 4 < 10

x < 28

200

DAILY DOUBLE 

x ≤ 17

closed circle at 17, pointing left

200

After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad?

x - 5 ≤ 27

x ≤ 32

300

DAILY DOUBLE 

What is the symbol for "no more than?"

300

DAILY DOUBLE 

4x > 24

x > 6

300

-5x + 3 > -22

x < 5

300

x -12 < -4

x < 8, closed circle at 8, pointing left

300

How many t-shirts can Banning buy with at least $40 if each t-shirt costs $8.00?

8x ≥ 40

x ≥ 5

400
What is the symbol for "at most"?
400

m/3 ≤ 12

m ≤ 36

400

DAILY DOUBLE

-6x-3>-15

What is x<2

400

-8x > 32

x < -4, open circle at -4, pointing left

400

DAILY DOUBLE 

Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. How much money did she get for cleaning?

x + 22.50 > 32

x > 9.50

500

DAILY DOUBLE

What is the symbol for "at least"?

500

-2x < 18

x > -9

500

9 < 2+(-x)

What is -7>x or x<-7

500

DAILY DOUBLE 

1/2X ≥4

x ≥ 8, closed circle at 8 pointing right

500

Max's employer has at most $18.00 to spend on tape measures for his crew. How many can he buy with that amount if each tape measure costs $4.50?

4.5x ≤ 18

x ≤ 4

600

What is the symbol for "taller than"?

>

600

DAILY DOUBLE

k + 3.2 ≥ -7 1/2

k ≥ -10.7 or 

k ≥ -10 7/10

600

DAILY DOUBLE 

12 ≥ -2t - 10

What is -11 ≤ t or t ≥ -11?

600

-12 > c/-2 + 10

What is 44 < c or c > 44; open circle at 44, pointing right

600

DAILY DOUBLE

Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. How many weeks can Keith withdraw money from his account? 

500 - 25w ≥ 200

w ≤ 12


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