How do you solve the inequality -x-3<-5?

Jun 27, 2017

$x > 2$

Explanation:

$\text{the first step is to add 3 to both sides of the inequality}$

$- x \cancel{- 3} \cancel{+ 3} < - 5 + 3$

$\Rightarrow - x < - 2$

$\text{multiply both sides by - 1 remembering to reverse the }$
$\text{inequality symbol}$

$\Rightarrow x > 2 \leftarrow \textcolor{red}{\text{ reverse symbol}}$