Question

State whether the given statement is true or false:
Dividing each side of an inequality by a negative number changes the direction of the inequality.

• A. true
• B. false

Answer 1

The correct option is A true

Let's take an example: $9<18$
Divide both the sides by a negative number -3
$\frac{9}{-3}<\frac{18}{-3}$
$\Rightarrow -3<-6,$ which is incorrect. To make it correct we have to change the direction of the inequality.
$\Rightarrow -3>-6$

Hence, dividing each side of an inequality by a negative number changes the direction of the inequality.