#### Answer

$(-\infty, 2.5)$
Refer to the image below for the graph.

#### Work Step by Step

Subtract $5$ on both sides to obtain:
$-5 \lt -2x$
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.
$\dfrac{5}{2} \gt x
\\2.5 \gt x$
This is equivalent to $x \lt 2.5$.
The solution set is the set of real numbers less than $2.5$.
In interval notation, the solution set is:
$(-\infty, 2.5)$
To graph this inequality, plot a hole (or hollow dot) at $x=2.5$ then shade the region to its left.
(refer to the attached image in the answer part)