Solve |y + 2| > 6 a, y < -8 or y > 4 b, y c, y < -4 or y > 4

asked Jun 13, 2022 70.3k views

3 votes

Solve |y + 2| > 6

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

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6 votes

Answer:

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:

$y +2 > 6 \\ y > 4$

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

Dnalow answered Jun 17, 2022

7.3k points

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