Question

Explain what needs to happen to the inequality sign when dividing or multiplying by a negative number. a. nothing happens c. change the inequality sign to an equals sign b. flip the inequality sign d. the inequality needs to be graphed on a number line

Answer 1

flip the inequality sign
so the answer is B

Answer 2

(B) flip the inequality sign.

Explanation:

If we consider an inequality such that
`-x\leq7`, then if we multiply the inequality with a negative number such as
`-1`, then the inequality becomes
`x\geq-7`.

Also, if we divide the above inequality
`-x\leq7`, by a negative number that is
`-1`, then the inequality becomes
`x\geq-7`.

Therefore, if we multiply or divide an inequality by a negative number, then it flips the inequality sign.

Hence, option (B) is correct.