Question

15. Which represents the solution to the absolute value equation?
2|x+2|-1=5
(1 point)

x=4 or x=-8
x=1 or x=-1
x=1 or x=-5
x=5 or x=-5

Answer 1

2 | x + 2 | - 1 = 5 --- add 1 to both sides
2 | x + 2 | = 5 + 1 -- combine like terms
2 | x + 2 | = 6 -- divide both sides by 2
| x + 2 | = 3

x + 2 = 3
x = 3 - 2
x = 1

-(x + 2) = 3
-x - 2 = 3
-x = 3 + 2
-x = 5
x = -5

solutions are : x = 1 and x = -5

Answer 2

Thank you for the fast reply. Makes sense now!

Answer 3

no problem...glad to help