college algebra
posted by Anonymous .
Solve absolute value inequality, use interval notations.
4+2x3>
I know the answer is x>2 or x<6
But I'm unsure how to solve it.
Thanks

since x = x if x >= 0, and x if x<0, either
(4+2x)  3 > 5 or
(4+2x)  3 > 5
so either
4+2x3 > 5
2x+1 > 5
2x > 4
x > 2
or
42x3 > 5
2x  7 > 5
2x > 12
x < 6