Question

|x + 3| < 5

- 8< x <2
- 2 < x <8
3< x <5
-3< x <5 |x + 3| < 5

- 8< x <2
- 2 < x <8
3< x <5
-3< x <5 @Mathematics

Answer 1

-5<x+3<5 => -8 < x < 2

Answer 2

|x+3|<5
Split into two. First, ignore the absolute value:
x+3<5
x<2
Then negate the 5 and switch the inequality around because you divided by -1:
x+3>-5
x>-8
So -8<x<2