$(-\infty, 2)$ 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)