Question

What is the solution of |3x+9|≤15

answer choices v

Answer 1

`|3x+9|\leq 15\\3x+9\leq 15 \,\,\mbox{for}\,\,x\geq -3\\\rightarrow x\leq2\\-(3x+9) \leq 15 \,\,\mbox{for}\,\,x< -3\\\rightarrow x \geq -8\\\mbox{combined:}\\-8\leq x \leq 2`

correct answer is choice #3: -8<=x<=2

Answer 2

-8<x<2

Explanation: