Inequalities from Word Problem

A number multiplied by 2 is no more than 12

• x > 12

• x < 12

• 2x ≤ 12

• 2x > 12

Ross and Chandler go to Taco Land and order sodas for a total of $3.50. They also want to order some tacos (of course), which cost $1.75 each. If they have $20, how many tacos can they buy? Which inequality best represents the situation.

• 3.50 + 1.75t > 20

• 1.75 + 3.50t ≤ 20

• 3.50 + 1.75t ≥ 20

• 1.75t + 3.50 ≤ 20

A student must be at least 15 years old to obtain a driver’s permit. Let a represent the student's age.

• a > 15

• a < 15

• a ≤ 15

• a ≥ 15

• a = 15

To qualify for an award, a student volunteers no less than 5 hours each week at the local hospital. Let h represent the number of hours a student volunteers.

• h < 5

• h > 5

• h ≥ 5

• h ≤ 5

• h = 5

To order from the kid's menu a person must be no more than 12 years old. Let k represent the kid's age.

• k > 12

• k < 12

• k ≥ 12

• k ≤ 12

• k = 12

A new tree you just planted will grow to be at most 35 feet tall. If it is currently 6 feet tall. Which of the following inequalities could be used to find all all the possible values of how many more feet, f, will it grow?

• 6 + x ≥ 35

• 6 + x > 35

• 6 + x < 35

• 6 + x ≤ 35

Top Golf charges $12 for each hour. You can spend no more than $60. Which of the following inequalities could help you solve for all the possible hours, h, that you can golf for?

• 12x < 60

• 12x ≤ 60

• 12x > 60

• 12x ≥ 60

• 30x < 330 + 50x

• 50x > 330 + 30x

• 30x > 330 + 50x

• 50x < 330 + 30x

• 2.5v + 5 < 5v

• 2.5v + 5 > 5v

• 7.5v < 5v

• 7.5v > 5v

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