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Math Help - Ordered Integral domain...

  1. #1
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    Post Ordered Integral domain...

    Prove or disprove that if a,b E D and a>b, then a^2>b^2..
    I know its a disprove because -2>-3 but (-2)^2<(-3)^2....but I just need to prove it in words...and I dont know if I could use the example to prove it! thanks...
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by vedicmath View Post
    Prove or disprove that if a,b E D and a>b, then a^2>b^2..
    I know its a disprove because -2>-3 but (-2)^2<(-3)^2....but I just need to prove it in words...and I dont know if I could use the example to prove it! thanks...
    Of course you just disproved it--you gave a counterexample. (of course you'd want to preface it with \mathbb{R} with the usual operations is a field, thus an ID and ordered with the usual ordering yet.. etc.)
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