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How many solutions does the equation |2x − 2| = x have?
Would it be 1

  • Math -

    Usually an inequality equation has two solutions ...

    |2x-2| = x
    2x-2 = x or -2x + 2 = x , where x ≥ 0
    x = 2 or -3x = -2

    x = 2 or x = 2/3

    both answers check out, so there are two solutions.

  • Math -

    (2x-2) = x
    x = 2

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

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