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Math Help - If the difference of two variables is finite.....

  1. #1
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    If the difference of two variables is finite.....

    If the difference of two variables is finite, can you assume that each of the variables themselves are finite??

    for instance, if x - y < infinity, can you assume that both x and y are finite?

    thanks for the help!
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: If the difference of two variables is finite.....

    You've an undefined form \infty-\infty, what you can say is:
    \infty-a=\infty where a\in \mathbb{R}
    a-\infty=-\infty where a\in \mathbb{R}

    If two variables are finite then their difference is finite.
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  3. #3
    Grand Panjandrum
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    Re: If the difference of two variables is finite.....

    Quote Originally Posted by fallingleaves75 View Post
    If the difference of two variables is finite, can you assume that each of the variables themselves are finite??

    for instance, if x - y < infinity, can you assume that both x and y are finite?

    thanks for the help!
    If their difference is defined then both must be defined.

    CB
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