SOLUTION: How many solutions are there for the equation x + 2 = | x – 3 | ? a) 0 b) 1 c) 2 d) 3 e) none of these

Algebra ->  Absolute-value -> SOLUTION: How many solutions are there for the equation x + 2 = | x – 3 | ? a) 0 b) 1 c) 2 d) 3 e) none of these       Log On


   



Question 283073: How many solutions are there for the equation x + 2 = | x – 3 | ?
a) 0 b) 1 c) 2 d) 3 e) none of these


Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
x+2=|x-3| has only one solution
x+2=-(x-3)
x+2=-x+3
2x=1
x=1/2 ok
and
x+2=+(x-3)
x+2=x-3
0=-5 not a solution
so there is only one solution