Question

Give 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 negative 2

Answer 1

If we multiply both the sides by 2, the inequality signs remains the same.

If we divide both sides by -2, the sign changes.

Explanation:

The given inequality is

-8<2

If we multiply both the sides by 2, we get

-8 * 2 < 2*2

-16 < 4

The inequality signs remains the same.

On the other hand if we divide both sides by -2, we get -

-8/-2 < 2/-2

4 > -1

Here the sign changes.