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10 November, 21:51

1.) Solve the absolute value equation.

2|3x - 5| - 8 = 8

A. X = - 1 5/6 or X = 5/6

B. X = - 1 or X = 4 1/3

C. X = - 1 5/6 or X = 4 1/3

D. X = - 1 5/6 or X = - 1

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Answers (1)
  1. 10 November, 23:33
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    B. x = - 1 or x = 4 1/3.

    Step-by-step explanation:

    2|3x - 5| - 8 = 8

    2|3x - 5| = 16

    |3x - 5| = 8

    The expression in the vertical lines can be positive or negative so we have 2 equations:

    3x - 5 = 8 and 3x - 5 = - 8

    3x - 5 = 8

    3x = 13

    x = 13/3 or 4 1/3

    3x - 5 = - 8

    3x = - 8 + 5 = - 3

    x = - 1.
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