Write the solution set of the inequality |x + 2| < 5 in the interval notation.

Answer 1

|x+2| < 5
x+2 < 5 AND -x-2 < 5
x < 3 AND x > -7

I always taught this notation:
-7 < x < 3

I will let you convert to your notation

Answer 2

(x+2) < 5 and -(x+2) <5

x < 3 and (x+2) > -5

x < 3 and x > -7
which is
-7 < x < 3

Answer 3

(-7,3) I think
I do not do interval notation either.

Answer 4

Interval notation: (-7,3)

If it was included (less than or equal to/greater than or equal to) you would use a bracket [ or ].

Answer 5

Yes.