$x\leq 5$ 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.