Question

Solve the inequality: $|2x+6|\le 16$

• A. $-10\le x\le -5$
  
• B. $-16\le x\le 0$
• C. $-11\le x\le 5$
• D. $-16\le x\le 16$

Answer 1

The correct option is C $-11\le x\le 5$

The given inequation is

$|2x+6|\le 16⟹-16\le 2x+6\le 16⟹-22\le 2x\le 10⟹-11\le x\le 5$

Ans- Option C.