Answer
$x\leq 5$
Please see image
![](https://gradesaver.s3.amazonaws.com/uploads/solution/722dd8a5-4719-4cc8-b088-0f54d08ee091/result_image/1562279574.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T014420Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=b52eab048dd4d7b3c6399088dcf1fe937e07c25c44e3f862ad72f78b3bb267e0)
Work Step by Step
$1-3x\geq-14 \qquad$ ...add $-1$ to both sides
$1-1-3x\geq-14-1 \qquad$ ...simplify.
$-3x\geq-15 \qquad$ ...divide with $(-3)$
...dividing with a negative inverts the inequality sign.
$x\leq 5$
The solutions of the given inequality are all real numbers less or equal to $5$..
Smaller numbers are to the left of $5$.
Use a solid dot in the graph to indicate $5$ is a solution.