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Solve the inequality for x, given that (4x - 16) / [(x - 3)(x - 9)] <

  1. Jan 29, 2014 #1
    1. The problem statement, all variables and given/known data

    Solve the inequality for x, given that (4x - 16) / [(x - 3)(x - 9)] < 0


    2. Relevant equations

    I can't think of any for this type of problem...


    3. The attempt at a solution

    (4x - 16) / [(x - 3)(x - 9)] < 0
    4(x - 4) / [(x - 3)(x - 9)] < 0


    I'm not sure where to go from here. I haven't worked one of these types of problems in awhile...
     
  2. jcsd
  3. Jan 29, 2014 #2

    berkeman

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    Staff: Mentor

    Multiply both sides of the inequality by something, to get rid of the denominator...
     
  4. Jan 29, 2014 #3

    statdad

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    Homework Helper

    Start by looking for the x values that make each individual factor 0: what do you know about how the sign of a rational expression behaves between locations where the expression is zero or undefined?
     
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