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Inequality Symbols
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Word Problems
100
What is the symbol for more than?
>
100
x + 7 < 8
x < 1
100
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. Write an equation to find how many more cups she needs to put in?

x + 2 > 7

200
What is the symbol for "less than"
<
200
b - 9 ≥ -20
b ≥ -11
200
x/2 - 4 < 10
x < 28
200
x ≤ 17
closed circle at 17, pointing left
200

After paying $5.00 for a salad, Taylor has no more than $27.00 left. Write and solve an inequality to find how much money she had before buying the salad?

x - 5 ≤ 27

x ≤ 32

300
What is the symbol for "no more than?"
≤
300
4x > 24
x > 6
300
-5x + 3 > -22
x < 5
300

x -12 < -4

x < 8, open circle at 8, pointing left

300

Josh wants to spend less than $80 to buy 4 shirts and a pair of pants. The pants cost $24 and each shirt cost the same amount. Write an inequality to find how much he will spend on each shirt. 

4x + 24 < 80

400
What is the symbol for "at most"?
≤
400
m/3 ≤ 12
m ≤ 36
400

3(-2x-1)>-15

What is x<2

400
-8x > 32
x < -4, open circle at -4, pointing left
400

Last Friday Marissa had $22.50. Over the weekend she received some money for cleaning. She now has over $32.00. Write and solve an inequality to find how much money did she earned for cleaning?

x + 22.50 > 32

x > 9.50

500
What is the symbol for "at least"?
≥
500
-2x < 18
x > -9
500
9 < 2+(-x)
What is -7>x
500
1/2x ≥ 4
x ≥ 8, closed circle pointing right
500

Max's employer has at most $18.00 to spend on tape measures for his crew. Write and solve an inequality to find how many he can buy with that amount if each tape measure costs $4.50?

4.5x ≤ 18

x ≤ 4