Basic Inequality Word Problems

To order from the kids menu a person must be no more than 12 years old.

• x > 12
• x < 12
• x ≥ 12
• x  ≤ 12

A student must be at least 15 years old to obtain a driver’s permit.

• x > 15
• x < 15 
• x ≤ 15
• x ≥ 15

Which inequality is represented by the words " at least"?

• <
• >
• ≤
• ≥

Addie saved more than $36. Which inequality represents the amount that she saved? 

• s > 36
• s < 36
• s ≤ 36
• s ≥ 36

Tucker lost fewer than 9 points. Which inequality represents the situation? 

• p > 9
• p < 9
• p ≥ 9
• p ≤ 9

You must be no more than 62 inches tall to play on the playground. Which inequality represents the heights of kids allowed to play? 

• k ≤ 62
• k > 62
• k < 62
• k ≥ 62

The speed limit is 45. Katie was going thirty miles per hour and sped up some. Which inequality represents the amount she could speed up and not be speeding? 

• 30 + s ≥ 45
• 30 - s ≥ 45
• 30 + s ≤ 45
• 30 - s ≤ 45

Todd caught at least three times as many fish this year than last year. He caught 63 fish this year. Which inequality represents how many fish he caught last year? 

• 3y > 63
• 3y < 63
• 3y ≤ 63
• 3y ≥ 63

A number multiplied by 2 is no more than 12

• x > 12
• x < 12
• 2x ≤ 12
• 2x > 12

The quotient of a number and 2 is more than 20. 

• x ÷ 3 < 20
• 3x < 30
• x ÷ 2 > 20 
• 3x > 30