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

Answer:

(B) flip the inequality sign.

Step-by-step 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.