Answer
$x \lt 4$
Please see image
![](https://gradesaver.s3.amazonaws.com/uploads/solution/e98628a7-1d89-4847-80e2-74b1266fa6a7/result_image/1562279102.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T011128Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=2ff74a6f68c8e7098b49abddbc341c55b1d1a956e4661dbabd2553135b994114)
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.