Question

Solve |y + 2| > 6
pls help

Answer 1

Explanation:

Definition of an absolute value is:

`|a|=\left \{ {{a, if a\geq 0} \atop {-a, if a<0}} \right.`

1). Assume that (y + 2) ≥ 0, then

y + 2 > 6 ⇒ y > 4

2). Now, if (y + 2) < 0, then

- (y + 2) > 6 ⇔ - y - 2 > 6 ⇒ y < - 8

y ∈ ( - ∞ , - 8) ∪ (4 , ∞ )