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Math Help - Solve two inequalities in x

  1. #1
    Senior Member Mukilab's Avatar
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    Solve two inequalities in x

    Find the set of values of x for which

    both 3(2x+1)>5-2x AND 2x^2-7x+3>0


    So the answer to the first one is x>1/4, answer to the second is x<1/2 and x>3

    But since these conflict, how would I write it?

    I think I need to do 1/4<x<1/2 AND x>3

    Is this right? Thanks for your help
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  2. #2
    MHF Contributor MarkFL's Avatar
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    Re: Solve two inequalities in x

    Yes, you have correctly found the intersection of the two solutions. In interval notation:

    \left(\frac{1}{4},\frac{1}{2} \right)\,\cup\,(3,\infty)
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  3. #3
    Senior Member Mukilab's Avatar
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    Re: Solve two inequalities in x

    Thank you very much
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