Answer
$(-\infty, 2)$
Refer to the image below for the graph.
Work Step by Step
Subtract $5$ on both sides to obtain:
$-4 \lt -2x$
Divide by $-2$ on both sides.
Note that dividing a negative number to both sides of an inequality will flip the inequality symbol to the opposite direction.
$2 \gt x$
This is equivalent to $x \lt 2$.
The solution set is the set of real numbers less than $2$.
In interval notation, the solution set is:
$(-\infty, 2)$
To graph this inequality, plot a hole (or hollow dot) at $x=2$ then shade the region to its left.
(refer to the attached image in the answer part)