Question

$-4x+20<24$ is equivalent to

• A. $x+5>4$
• B. $x-5>6$
• C. $x<-1$

Answer 1

The correct option is A $x+5>4$

Given. $-4x+20<24$
Subtracting $20$ from both the sides,
$\Rightarrow -4x+20-20<24-20$
$\Rightarrow -4x<4$
Dividing both the sides by $-4$,
$\Rightarrow \frac{-4x}{-4}>\frac{4}{-4}\Rightarrow x>-1$
Now, adding 5 to both sides,
$\Rightarrow x+5>-1+5\Rightarrow x+5>4$
Also, If we subtract 5 from both the sides of the inequality $x>-1$
$\Rightarrow x-5>-1-5\Rightarrow x-5>-6$
$\therefore x+5>4$ is equivalent to $-4x+20<24$