Question

Solution of the inequality $-6x<12,$ is:

• A. $x>-2$
• B. $x>2$
• C. $x<-2$
• D. $x<2$

Answer 1

The correct option is A $x>-2$

Given, $-6x<12$
Divide both sides by -6 to eliminate -6 on the left side of the equation.
Also, dividing both sides of the inequality by a negative number changes the direction of the inequality.
$\frac{-6x}{-6}>\frac{12}{-6}$
$\Rightarrow \frac{-6\times x}{-6}>\frac{6\times 2}{-6}$
$\Rightarrow x>-2$

Hence, solution of the inequality $-6x<12$ is $x>-2.$