Answer
See the graph
![](https://gradesaver.s3.amazonaws.com/uploads/solution/2ca4b9c8-e838-4948-ac01-4547d9015c78/result_image/1597768833.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T021810Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=3c95a44c74c5c230d7b1e801ce2dde956c04fd86fcf591a2af33df5c942abe3c)
Work Step by Step
Given: $y \leq 3x+1$
The y-intercept is $1$. Plot a point $(0,1)$.
Substitute $0$ for y to find another point:
$0 = 3x+1$
$x=\frac{-1}{3}$
$\rightarrow (\frac{-1}{3},0)$
The values for y are in the pink area.