The solution set of the inequation $|2x - 3| ≤ 4$ is

$\left[-\frac{1}{2},\frac{7}{2}\right]$

The correct answer is Option (2) → $\left[-\frac{1}{2},\frac{7}{2}\right]$ **

Given inequation:

$|2x - 3| \le 4$

Remove absolute value:

$-4 \le 2x - 3 \le 4$

Add 3 to all sides:

$-1 \le 2x \le 7$

Divide by 2:

$-\frac{1}{2} \le x \le \frac{7}{2}$

The solution set is $x \in \left[-\frac{1}{2},\;\frac{7}{2}\right]$.