#### Answer

$(-\infty, -\frac{1}{2})$
Refer to the image below for the graph.

#### Work Step by Step

Subtract $1$ on both sides to obtain:
$2x \lt -1$
Divide by $2$ on both sides.
$x \lt -\frac{1}{2}$
The solution set is the set of real numbers less than $-\frac{1}{2}$.
In interval notation, the solution set is:
$(-\infty, -\frac{1}{2})$
To graph this inequality, plot a hole (or hollow dot) at $x=-\frac{1}{2}$ then shade the region to its left.
(refer to the attached image in the answer part)