Q:

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.

Accepted Solution

A:
Answer:The inequality sign remains same while multiply or divide both sides by positive numbers.The inequality sign changes while multiply or divide both sides by negative numbers.Step-by-step explanation:The given inequality is - 8 < 2. Now, if we multiply 2 in both sides then - 16 < 4 Again, if we divide by 2 into both sides then Β - 4 < 1 Therefore, the inequality sign remains the same while multiply or divide both sides by positive numbers. Now, if we multiply -2 in both sides then 16 > -4 And, if we divide -2 into both sides then 4 > -1 Therefore, the inequality sign changes while multiply or divide both sides by negative numbers. (Answer)