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Math Help - rational/polynomail inequality

  1. #1
    Junior Member
    Joined
    Oct 2007
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    44

    rational/polynomail inequality

    Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation.


    x-2/x+1 <0
    my answer: (-infinity,-1) u (2, infinity)

    -x+8/x-3 > or equal to 0
    my answer: (3,8]

    2/x-2<1
    my answer: (2,4)

    10-2x/4x+5 < or equal to 0
    my answer: (-infinity, -5/4) or [5, infinity)


    Solve the polynomial inequality and graph the solution set on a number line. Express the solution set in interval notation.

    x^2 - 6x + 5 > 0
    -I got (-ininity,1) u (5, infinity)

    x^2 - 3x - 18 < 0
    -I got (-infinity,-3) u (6, infinity)

    x^2 - 3x - 28 0
    -I got (-ininity,-4] u [7,infinity)
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  2. #2
    Newbie
    Joined
    Oct 2007
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    I've attached an example. You can use the table method for the polynomial inequalities too. First factor them and find the critical points. Hope this helps.
    Attached Thumbnails Attached Thumbnails rational/polynomail inequality-inequality.jpg  
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