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|3w-1| = |3w|
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.

  • Math -

    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
    3w-1 = 3w
    0 * w = 1 no solution possible
    3 w - 1 = - 3 w
    6 w = 1
    w = 1/6

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