Answer:
Choice A
Step-by-step explanation:
[tex]|2x - 3|\geqslant 7[/tex]
[tex] = 2x - 3 \ge \: 7 \: or \: 2x - 3 \le \: - 7[/tex]
There are two possibilities.
CASE 1:
[tex] = > 2x - 3 + 3≥7 + 3[/tex]
[tex] = > 2x \ge \:10[/tex]
[tex] = > \cfrac{2x}{2} \ge \: \cfrac{10}{2} [/tex]
[tex] = > x \ge5 \: (ans)[/tex]
CASE 2:
[tex] = > 2x+3 + 3≤ - 7 + 3[/tex]
[tex] = > 2x \le -4[/tex]
[tex] = > \cfrac{2x}{2} \le \: \cfrac{ - 4}{2} [/tex]
[tex] = > x = - 2 \: (ans)[/tex]
Hence, Choice A is accurate.
