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Math Help - Making a conjecture

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    Junior Member Melancholy's Avatar
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    Making a conjecture

    -Determine whether the conjection is true or false. Give a counterexample for any false conjecture-

    Given: m + y > 10, y > 4

    Conjecture: m < 6

    If I knew what in the world the ">" and "<" signs meant, I might be able to work the problem. Please could you tell me what > and < means? And how do you find whether it is true or false after that?
    Last edited by Melancholy; September 19th 2007 at 09:23 PM.
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    Quote Originally Posted by Melancholy View Post
    -Determine whether the conjection is true or false. Give a counterexample for any false conjecture-

    Given: m + y > 10, y > 4

    Conjecture: m < 6

    If I knew what in the world the ">" and "<" signs meant, I might be able to work the problem. Please could you tell me what > and < means? And how do you find whether it is true or false after that?
    > -- Greater Then or Equal To

    < -- Less Than or Equal To

    Let's see what you get.
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  3. #3
    Junior Member Melancholy's Avatar
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    Okay, so that one I already knew sorta... the line under it was confusing me... but I don't understand what I'm supposed to do still...

    If m + y > 10 and y > 4

    What does m < 6 have to do with it? Uhg... need more explanation...
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Melancholy View Post
    Okay, so that one I already knew sorta... the line under it was confusing me... but I don't understand what I'm supposed to do still...

    If m + y > 10 and y > 4

    What does m < 6 have to do with it? Uhg... need more explanation...
    look at it this way:

    let's say x \ge 4

    then what is likely to be true for x + 1?

    well, since x \ge 4, if we add 1, then x + 1 \ge 5, since we added one more to both sides.


    is it possible that x + 1 \leq 5? yes, only if x = 4, but otherwise, no. in general, it will be the case that x + 1 \ge 5, since x can be 4 or greater, adding 1 makes it 5 or greater

    think about this for a while, if you don't get it, say so
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