Question

Represent the solution of the following inequation on a number line, when x is an integer.
$10<-5x<25$

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$10<-5x<25\text{(divide both sides by -5)}\Rightarrow \frac{10}{-5}>\frac{-5x}{-5}>\frac{25}{-5}\text{Sign of inequality changes when}\text{the inequation is divided by a negative number}\Rightarrow -2>x>-5$

Since, x is an integer, so values of x are -3 and -4.