Answer
$q\leq 12$
The graph is shown below.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/7208750e-f6ac-4528-9d36-05c88715b700/result_image/1663334956.jpg?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20250121%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20250121T115139Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=00e692e54022200d1b38826b8dd0801f74157b6fa4d18b6c57ad5445450ff09a)
Work Step by Step
The given inequality is
$\Rightarrow 15\geq q+3$
Subtract $3$ from each side.
$\Rightarrow 15-3\geq q+3-3$
Simplify.
$\Rightarrow 12\geq q$
Hence, the solution is $q\leq 12$.
Use a close circle because $12$ is a solution.
Shade the number line on the left side.