Answer
Set notation :- $\{x|x\gt-7\}$
Interval notation :- $(-7,\infty )$.
The graph is shown below.
Work Step by Step
Divide both sides by $-2$ and change the direction of the inequality.
$\dfrac{-2(x+3)}{-2}\gt \dfrac{8}{-2} $
Simplify.
$x+3\gt -4 $
Subtract $3$ from both sides.
$x+3-3\gt -4-3 $
Simplify.
$x\gt -7 $
The solution set is $\{x|x\gt-7\}$
or interval notation is $(-7,\infty )$.
To graph, use an open parenthesis at $-7$ then shade the region to the right.
