Question

Solve.

|3w-1| = |3w|
or
abs(3w-1) - abs(3w)

I know you can use a calculator and find the answer easily, but we're supposed to know how to do this without a calculator.

Answer 1

four possibilites
A. (3w-1) = (3w)
B (3w-1) = -(3w)
C. -(3w-1) = (3w)
D. -3(w-1) = -(3w)
A and D are the same, use A
B and C are the same, use B
so
A:
3w-1 = 3w
0 * w = 1 no solution possible
B:
3 w - 1 = - 3 w
6 w = 1
w = 1/6