Question

Solve |p+8| over 2 =5

Answer 1

p = 2 or p = - 18

Explanation:

given
`(|p+8|)/(2)` = 5 ( multiply both sides by 2 )

| p + 8 | = 10

The expression inside the absolute value can be positive or negative

that is p + 8 = ± 10

p + 8 = 10 ⇒ p = 10 - 8 = 2

p + 8 = - 10 ⇒ p = - 10 - 8 = - 18

Answer 2

p = 2 p = -18

Explanation:

|p+8| over 2 =5

|p+8|

----------- = 5

2

Multiply each side by 2

|p+8|

2*----------- = 5*2

2

|p+8| =10

With absolute values we have a positive and a negative solution

p+8 = 10 and p+8=-10

Subtract 8 from each side

p +8-8 = 10-8 p+8-8 = -10-8

p = 2 p = -18