Question

Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.

Answer 1

When you multiply or divide each side by 2, the signs stay the same. −16 < 4 and −4 < 1. When you multiply or divide by −2, the inequality sign reverses. 16 > −4 and 4 > −1.

Explanation:

Answer 2

The answer to your question is below.

Explanation:

Given - 8 < 2

Multiply or divide by 2

- 8 (2) < 2 (2)

- 16 < 4

- 8 /2 < 2 / 2

-4 < 1

When we multiply or divide the inequality by 2, the inequality do not change.

Multiply or divide by -2

- 8 (-2) < 2(-2)

16 > -4

- 8 / -2 > 2 / - 2

4 > -1

When we multiply or divide the inequality by -2, the inequality changes