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Math Help - Inequalities: Help rearranging and simplifing

  1. #1
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    Inequalities: Help rearranging and simplifing

    I'm really stuck on an exercise.

    6 - (x/4) > 14

    i know what the answer is, but cannot get there. I'm getting confused and mixed up on the sign rearrangements over the equals sign

    any help would be greatly appreciated
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  2. #2
    Master Of Puppets
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    6-\frac{x}{4}>14

    Take 6 from both sides

    -\frac{x}{4}>8

    Multiply both sides by 4

    -x>32

    Multiply both sides by -1. Note the inequality changes!

    x<-32
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  3. #3
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    Or....

    \displaystyle\ 6-\frac{x}{4}>14\Rightarrow\ 6-14>\frac{x}{4}\Rightarrow\ -8(4)>x
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