what is the solution to the inequality |2n + 5|>1?\n-3>n>-2\n2 < n < 3\nn < -3 or n > -2\nn < 2 or n > 3

Explanation:

Step1: Split absolute - value inequality

For (|2n + 5|>1), we have two cases: (2n+5>1) or (2n + 5<-1).

Step2: Solve (2n+5>1)

Subtract 5 from both sides: (2n>1 - 5), so (2n>-4). Then divide both sides by 2, we get (n>-2).

Step3: Solve (2n + 5<-1)

Subtract 5 from both sides: (2n<-1 - 5), so (2n<-6). Then divide both sides by 2, we get (n<-3).

Answer:

C. (n < - 3) or (n>-2)