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.

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Answer:

The answer to your question is below.

Step-by-step 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

Answer:

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.

Step-by-step explanation: