Answer
Set notation: $\quad\{x|x\gt-2\}$
Interval notation:$\quad(-2,\infty )$.
The graph is shown below.
Work Step by Step
Subtract $5$ from both sides.
$2x+5-5\gt 1-5 $
Simplify.
$2x\gt -4 $
Divide both sides by $2$.
$\dfrac{2x}{2}\gt \dfrac{-4}{2} $
Simplify.
$x\gt -2 $
The solution set is $\{x|x\gt-2\}$
or interval notation is $(-2,\infty )$.
To graph, use an open parenthesis at $-2$ then shade the region to the right.
