Question

Solve |p+8| over 2 =5

Answer 1

Answer:

p = 2 or p = - 18

Step-by-step explanation:

given $\frac{|p+8|}{2}$ = 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

Answer:

p = 2              p = -18

Step-by-step 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