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Quadratic Inequality

  1. Oct 11, 2015 #1
    1. The problem statement, all variables and given/known data

    How to solve this kind of inequality?
    x²-4x+3≤(3x+5)(2x-3)


    2. Relevant equations


    3. The attempt at a solution:
    I'm confused. Should I factor the left side or should I FOIL the right side then equate it to zero to find the critical numbers? Help pleaasee.
     
    Last edited by a moderator: Oct 11, 2015
  2. jcsd
  3. Oct 11, 2015 #2

    symbolipoint

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    Simplify the inequality and arrange for all terms to be on one side and 0 on the other side. The quadratic inequality can then be examined for the three intervals on x. The critical values will be the roots of the simplified quadratic expression.
     
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