Question

Complete the following statement:
Multiplying each side of an inequality by a positive number

• A. changes the direction of the inequality
• B. does not change the direction of the inequality

Answer 1

The correct option is B does not change the direction of the inequality

Let's take an example: $-2>-4$
Multiply both the sides by a positive number 3
$-2\times 3>-4\times 3$
$\Rightarrow -6>-12,$ which is true.

Hence, multiplying each side of an inequality by a positive number does not change the direction of the inequality.