Inequalities Study Guide

Solve the inequality.

• c > -10

• c < -10

• c > 24

• c < 24

Solve the inequality.

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Solve the inequality.

• a<15

• a>15

• a>-15

• a<-15

Solve the inequality: x - 5 ≤ 14.

• x ≤ 19

• x ≥ 19

• x ≤ 9

• x ≥ 9

What is the first step to solve the inequality -3x + 8 ≥ 35?

• Subtract 8 from both sides

• Add 8 to both sides

• Multiply both sides by -3

• Divide both sides by -3

What happens to the inequality sign when you divide both sides of an inequality by a negative number?

• It stays the same

• It reverses

• It becomes an equal sign

• It disappears

If -3x + 8 ≥ 35, what is the value of x after solving the inequality?

• x ≤ -9

• x ≥ -9

• x ≤ 9

• x ≥ 9

What is the inequality form of "The product of a number and -3 increased by 8 is no less than 35"?

• -3x + 8 ≥ 35

• -3x + 8 ≤ 35

• 3x + 8 ≥ 35

• 3x + 8 ≤ 35

Marvin can fit no more than 18.5 gallons in his gas tank. If he stops at the gas station with 3.7 gallons already in his tank, how much gas can he fit in his tank?

Ana wants to burn at least 400 calories at the gym. She burned 120 calories on the bike, then moved to the treadmill. If she burns 8 calories per minute on the treadmill, how many more minutes does she need to exercise?