Writing Basic Inequalities

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

Answer explanation

The requirement states that a student must be at least 15 years old to obtain a driver's permit. This means the student's age, a, must be greater than or equal to 15, which is represented by a ≥ 15.

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

Answer explanation

To order from the kid's menu, a person must be 12 years old or younger. Therefore, the correct representation of this condition is k ≤ 12, meaning k can be any age up to and including 12.

There are no more than 18 students on the hall.

• s>18

• s<18

• s≤18

• s≥18

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There are fewer than 150 children at the playground.

• c<150
• c>150
• c≤150
• c≥150

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At least 25 cats are on my porch.

• c<25
• c>25
• c≤25
• c≥25

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Grace has $45 at most in her purse.

• g<45
• g>45
• g≤45
• g≥45

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My sister plans to sell more than 250 boxes of cookies.

• c>250
• c<250
• c≤250
• c≥250

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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

Answer explanation

To qualify for the award, a student must volunteer at least 5 hours each week. This means the number of hours volunteered, h, must be greater than or equal to 5. Therefore, the correct choice is h ≥ 5.

Addie saved more than $36. Let s represent Addie's savings.

• s > 36

• s < 36

• s ≤ 36

• s ≥ 36

• s = 36

Answer explanation

Addie saved more than $36, which means her savings, represented by s, must be greater than 36. Therefore, the correct inequality is s > 36.

You must be no more than 62 inches tall to play on the playground. Let h represent the height required to use the playground.

• h ≤ 62

• h > 62

• h < 62

• h ≥ 62

• h = 62

Answer explanation

The requirement states you must be no more than 62 inches tall to play. This means the height h must be less than or equal to 62 inches, which is represented by h ≤ 62.