Answer
Set notation :- $\{x|x<4\}$
Interval notation :- $(-\infty ,4)$.
The graph is shown below.
Work Step by Step
The given inequality is
$x+1<5$
Subtract $1$ from both sides.
$x+1-1<5-1$
Simplify.
$x<4$
The solution set is $\{x|x<4\}$
or interval notation is $(-\infty ,4)$
To graph, use a close parenthesis at $4$, then shade the region to its left.