What is the solution to the inequality |2n+5| > 1?

n > - 2 or n < - 3

Step-by-step explanation:

|2n+5| > 1

We have two solutions one positive and one negative. Remember to flip the inequality symbol for the negative

2n+5 > 1 or 2n+5 < - 1

Subtract 5 from each side

2n+5-5 > 1-5 2n+5 - 5 < - 1 - 5

2n >-4 2n < - 6

Divide by 2

2n/2 > - 4/2 2n/2 < - 6/2

n > - 2 or n < - 3