When solving an inequality, when do you reverse the inequality sign?

A) never

B) always

C) when there is a negative in the answer

D) when you multiply or divide both sides by a negative

The answer is D. To see why, forget about equations with variables and just look at some numbers:

3 < 5

That's obviously correct, right? Now multiply both sides by - 2:

3 * - 2 < 5 * - 2

-6 < - 10

That's not right, and you need to flip the to make it right:

-6 > - 10

The same thing applies to division.

D. whenever you multiply or divide both sides by a negative