Q:

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

Accepted Solution

A:
Answer:p >5                  or                            p <-8Step-by-step explanation:-6+|2p+3|>7Add 6 to each side-6+6+|2p+3|>7+6|2p+3|>13We get a positive and negative solution2p +3 > 13             and  2p +3 < -13Subtract 3 from each side2p +3 -3> 13-3           or 2p +3-3 < -13-32p > 10                                      2p < -16Divide by 22p/2 > 10/2                                2p/2 <-16/2p >5                  or                            p <-8