What is the solution to the inequality - 6+|2p+3|>7

Option A is the answer

p >5 or p <-8

Step-by-step explanation:

-6+|2p+3|>7

Add 6 to each side

-6+6+|2p+3|>7+6

|2p+3|>13

We get a positive and negative solution

2p + 3 > 13 and 2p + 3 < - 13

Subtract 3 from each side

2p + 3 - 3> 13-3 or 2p + 3-3 < - 13-3

2p > 10 2p < - 16

Divide by 2

2p/2 > 10/2 2p/2 <-16/2

p >5 or p <-8