Question

|x + 3| < 5

–8 < x < 2
–2 < x < 8
3 < x < 5
–3 < x < 5

Answer 1

-8 < x < 2

Explanation:

`|x+3|<5\iff x+3<5\ \wedge\ x+3>-5\qquad\text{subtract 3 from both sides}\\\\x<2\ \wedge\ x>-8\Rightarrow -8<x<2`