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4 December, 06:32

Which of the following equations have no solution? Select all that apply.

A) |x + 3| = 3

B) - |x + 3| = 3

C) |x + 3| + 3 = 3

D) |x + 3| + 6 = 3

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Answers (1)
  1. 4 December, 06:53
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    B) - |x + 3| = 3

    D) |x + 3| + 6 = 3

    Step-by-step explanation:

    A) |x + 3| = 3

    B) - |x + 3| = 3

    Divide by - 1

    |x + 3| = - 3

    Absolute values are 0 or positive so this cannot have a solution

    C) |x + 3| + 3 = 3

    Subtract 3 from each side

    |x + 3| + 3-3 = 3-3

    |x + 3| = 0

    D) |x + 3| + 6 = 3

    Subtract 6 from each side

    |x + 3| = - 3

    Absolute values are 0 or positive so this cannot have a solution
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