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27 August, 07:56

If x = - 6, which inequality is true, - 5 - 3x > 10, - 3 - 5x < - 14 or 2-x < - 3?

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  1. 27 August, 11:07
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    If x = - 6

    we can subtitution x to every inequality, so:

    -5 - 3x > 10

    -5 - 3 (-6) > 10

    -5 - (-18) > 10

    -5 + 18 > 10

    13 > 10 [true]

    -3 - 5x < - 14

    -3 - 5 (-6) < - 14

    -3 - (-30) < - 14

    -3 + 30 < - 14

    27 < - 14 [false]

    2 - x < - 3

    2 - (-6) < - 3

    2 + 6 < - 3

    8 < - 3 [false]

    So if x=-6, inequality true is - 5 - 3x > 10.
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