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1 November, 19:20

Solve the inequality (24x+4) ^-1<0

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  1. 1 November, 19:23
    0
    I think you meant (24x+4) ^ (-1) <0.

    This is equivalent to 1 / [4 (6x+1) ] < 0.

    We must determine the set of values of x for which 6x+1 is not equal to zero and 6x+1 is less than 0 (because 1 / [4 (6x+1) ] < 0 for such values).

    Solve 6x+1 < 0. 6x+1<0 becomes 6x < - 1, or x < - 1/6

    This divides the number line into two halves: ( - infinity, - 1/6) and (-1/6, infinity).

    From each half, choose an x value not equal to - 1/6. If the original inequality is then true, you have found the interval that solves it. If false, choose the other interval to represent your solution.
  2. 1 November, 19:26
    0
    X<-1/6

    (24x+4) ^-1<0

    1 / (24x+4) <0

    1 / (4 (6x+1)) <0 - denominator needs to be less than 0

    4 (6x+1) <0

    6x+1<0

    6x<-1

    x<-1/6
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