Question

Some one say that if you multiply or divide each side of an inequality by a negative number, the inequality sign changes directions. He give an example: -2x < 6, then x > -3. Is the statement true or false?

Answer 1

True

Explanation:

Answer 2

Explanation:

It is true!

Let's say we subtract 6 from both sides

-2x -6< 0 Now Let's add 2x to both sides

-2x + 2x - 6 < 0 + 2x

- 6 < 2x We did so we would be dividing by a number greater than 0. Divide by + 2

-6/2 < 2x / 2

-3 < x Notice you still get the open end of the inequality sign closest to the x without changing the direction of the inequality.