Question

Which of the following number line represents the solution of the inequation:
$5x-13>-18,$( $x$ is an integer less than 5)?

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

$5x-13>-18\text{(add 13 to both sides)}\Rightarrow 5x-13+13>-18+13\Rightarrow 5x>-5\text{divide both sides by 5}\Rightarrow \frac{5x}{5}>\frac{-5}{5}\Rightarrow x>-1\therefore x=0,1,2,3...\text{also,}x<5\therefore x=1,2,3,4$