Question

Solve |2x - 3|27.

Answer 1

Answer:

Choice A

Step-by-step explanation:

$|2x - 3|\geqslant 7$

$= 2x - 3 \ge \: 7 \: or \: 2x - 3 \le \: - 7$

There are two possibilities.

CASE 1:

$= > 2x - 3 + 3≥7 + 3$

$= > 2x \ge \:10$

$= > \cfrac{2x}{2} \ge \: \cfrac{10}{2}$

$= > x \ge5 \: (ans)$

CASE 2:

$= > 2x+3 + 3≤ - 7 + 3$

$= > 2x \le -4$

$= > \cfrac{2x}{2} \le \: \cfrac{ - 4}{2}$

$= > x = - 2 \: (ans)$

Hence, Choice A is accurate.