Answer
Set-builder notation: $\left\{x | x \gt -1\right\}$
Refer to the image below for the graph
Work Step by Step
A parenthesis on the left means that the number $-1$ is not included in the set.
Thus, the set includes all real numbers greater than $-1$.
Therefore, the set-builder notation equivalent of the given interval is:
$\left\{x | x \gt -1\right\}$
Recall, when graphing an inequality on a number line, a filled in circle indicates that the number is a solution to the inequality while a circle that is not filled in indicates that a number is not a solution to the inequality.