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    MsTaylor23's Avatar
    MsTaylor23 Posts: 41, Reputation: 1
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    #1

    Jun 20, 2007, 07:01 AM
    Interval Notation in Solution Sets-Another Tricky One
    2<(5-2x)<7 the problem

    2-5<-2x<7-5
    -3/2<-2x<2/2
    -3/2<x<1

    I feel like I have done something wrong with this problem.
    ebaines's Avatar
    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Jun 20, 2007, 07:24 AM
    Remember - whenever you multiply or divide through by a negative number, you have to flip the inequality symbols around. Thus:

    -3/2 < -x < 2/2
    3/2 > x > -1
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