Answer
$[-3,4.2]$ or $[-3,4\frac{1}{5}]$
Graph :
Work Step by Step
$|5x-3 | \leq 18$
This is equivalent to
$-18 \leq 5x-3 \leq 18$
[Using the property, $|X| \leq a = −a\leq x \leq a$]
By the inequality property, add $3$ to all parts.
$-18+3 \leq 5x-3+3 \leq 18+3$
$-15 \leq 5x \leq 21$
Divide by $5$
$-3 \leq x \leq \frac{21}{5}$ or
$-3 \leq x \leq 4\frac{1}{5}$ or
$-3 \leq x \leq 4.2$
Interval Notation : $[-3,4.2]$
