Answer
$x\displaystyle \leq\frac{5}{4}$
Work Step by Step
Apply rules from the table "Rules for Inequalities"
$ 5x- 3 \leq 7-3x\qquad$ ... add $ 3x+3\quad$ (rule 1)
$5x+3x \leq 7+3$
$8x\leq 10\qquad $.... multiply with $ c=\displaystyle \frac{1}{8}\quad$ (positive, rule 3)
$x\displaystyle \leq\frac{10}{8}$
$x\displaystyle \leq\frac{5}{4}$
This inequality describes a closed interval, $x\displaystyle \in(-\infty,\frac{5}{4}]$
See table: "Types of intervals."
