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MHF4U

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Solve:

12+4|6x−1|<4

5−6|x+7|less than or equal to 17


...can you please explain to me..
i know that it's like solving algebraically but one of them has no solution..

  • MHF4U -

    1. 12 + 4|6x-1| < 4.
    4|6x-1| < 4-12
    4|6x-1| < -8
    |6x-1| < -2
    6x - 1 < -2
    6x < -2+1
    6x < -1
    X < -1/6.
    The calculated value of X does not satisfy the inequality. Make sure the problem is copied correctly.

    2. 5 -6|x+7| <= 17
    -6|x+7| <= 17-5
    -6|x+7| <= 12
    |x+7| >= -2
    x+7 >= -2
    X >= -2-7
    X >= -9.

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