Answer
$x\leq 5$
Please see image
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.