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Jeff Bezos

19/03/2017 at 10:28
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2
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Find the values of x for ||4x-2| - 2| = 4


absolute value


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  • ...
    ¤« 08/04/2018 at 15:12

    ||4x-2| - 2| = 4

    Scenerio (S.c.) 1:

    |4x - 2| - 2 = 4

    |4x - 2| = 6

    S.c. 1.1:

    4x - 2 = 6

    4x = 8

    x = 2.

    S.c. 1.2:

    4x - 2 = -6

    4x = -4

    x = -1.

    S.c. 2:

    |4x - 2| - 2 = -4

    |4x - 2| = -2

    |4x - 2| is always larger or equal to 0, so there is no value of x in this scenerio.

    Thus, the values of x are 2; -1.

  • ...
    Nguyễn Nhật Minh 21/03/2017 at 18:16

    ||4x-2| - 2| = 4

    Scenerio (S.c.) 1:

    |4x - 2| - 2 = 4

    |4x - 2| = 6

    S.c. 1.1:

    4x - 2 = 6

    4x = 8

    x = 2.

    S.c. 1.2:

    4x - 2 = -6

    4x = -4

    x = -1.

    S.c. 2:

    |4x - 2| - 2 = -4

    |4x - 2| = -2

    |4x - 2| is always larger or equal to 0, so there is no value of x in this scenerio.

    Thus, the values of x are 2; -1.


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