Question

Solve |y + 2| > 6

a, y < -8 or y > 4
b, y < -6 or y > 6
c, y < -4 or y > 4

Answer 1

Choice A

Explanation:

Given:

`|y +2| > 2`

Solving for the negative part:

`-(y +2) > 6 \\ y +2 < -6 \\ y < -8`

Solving for the positive part:

`y +2 > 6 \\ y > 4`

`y \in \{\space \mathbb{R} \space| y < -8\text{ or }y > 4\}`