(-5, 1)
Explanation:The given set:
{x | -5 < x < 1}
To draw the number line, the range of the line will be from -5 to 1.
Since there is no equal sign attached to the inequlaity, the dot or circle will not be shaded.
Plotting on the number line:
Writing the set in interval notation:
[tex]\begin{gathered} The\text{ parenthesis that will be used is ( ), since the inequality doesn't have equal sign attached} \\ \text{Hence, the interval is }(-5,\text{ 1)} \end{gathered}[/tex]