Solve the rational inequality?

x-6

_____ >0

x+1

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  • 8 years ago
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    x-6

    _____ >0

    x+1

    Find the zeroes of the numerator and denominator: this is where sign changes will occur:

    ------(-1)--------(6)-------

    Test the three regions for positive results: ( >0 means only positives)

    If x< -1, like x= -4, both numerator and denominator will be negative, which makes the fraction positive.

    So x< -1

    Then if x is between -1 and 6, like x= 0, we will get (-)/(+) which is negative . So this is not part of the solution.

    Then x> 6 will give (+)/(+) so this is part of the solution.

    X>6

    Solution: x<-1 OR x>6

    (It' s not hard to do, just trying numbers in each interval:)

    I hope this helps!

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