Question

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

Answer 1

n > -2 or n < -3

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