Solving Inequalities by Multiplying & Dividing

8 > 5• What happens if I multiply by sides by 3?

• What happens if I multiplied by sides by -3?

Multiplication Property of Inequalities• If both sides are multiplied by the

same positive number, the inequality stays the same.

• If both sides are multiplied by the same negative number, the inequality switches.

Solve: 𝑥7

<9

Solve: 𝑥−6

<2

Solve: −8≤𝑥4

Solve: 3≥ 𝑥−5

12 < 20• What happens if I divide both sides by 4?

• What happens if I divide both sides by -4?

Division Property of Inequalities• If both sides are divided by the same

positive number, the inequality stays the same.

• If both sides are divided by the same negative number, the inequality switches.

Solve: 3 𝑥>18

Solve: −2 𝑥≥22

Solve: 25>−5 𝑥

Homework• Worksheet