Answer
$x \lt 4$
Please see image
Work Step by Step
$4x+9 \lt 25 \qquad$ ... add $-9$ to both sides.
$ 4x+9-9 \lt 25-9\qquad$ ...simplify.
$ 4x \lt 16\qquad$ ...divide both sides with $4$.
$x \lt 4$
The solutions of the given inequality are all real numbers less than $4$.
Smaller numbers are to the left of $4$.
Use an open dot in the graph to indicate $4$ is not a solution.