The solution set of the inequation $|2x - 3| ≤ 4$ is
Answer & explanation
Correct answer: option 2
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 $x \in \left[-\frac{1}{2},\;\frac{7}{2}\right]$.