Question

Please help for 50 points.

The single inequality y > |x + 2| is equivalent to which of the following systems?
Answers:
1.y > x + 2
y > –x + 2

2.y > x + 2
y > –x – 2

3.y > x + 2
y < –x + 2

4.y > x + 2
y < –x – 2

Answer 1

Answer: 2

y > x + 2

y>-x-2

Explanation:

An absolute value will turn y either into a negative number or make it stay positive.

y > x + 2 (regular removed absolute value)

-y< x + 2 (Sign flip when negative)

y>-x-2 (Sign flip again when number multiply/divide)