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Math Help - Don't understand the and or thing

  1. #1
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    Don't understand the and or thing

    Hi, I would like to know the reason why

    ( x <= n) ^ (x < n) ) is equivalent to (x <= n)

    Because I think if n = 7

    then first one can have value up to x = 7

    but x < n can only have value up to x = 6

    so since it is narrow the commonalities can exist up to x = 6...

    so I thought it was (x < n) but the answer says ( x <= n ) let me know..
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  2. #2
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    Re: Don't understand the and or thing

    You are right. (x <= n) /\ (x < n) is equivalent to (x < n), not (x <= n).
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  3. #3
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    Re: Don't understand the and or thing

    Quote Originally Posted by sekaiyoma View Post
    Hi, I would like to know the reason why
    ( x <= n) ^ (x < n) ) is equivalent to (x <= n)
    What is the meaning of ( x <= n) ^ (x < n)?.

    If it is set notation (-\infty,n)\cap(-\infty,n]=(-\infty,n) then they not equivalent.
    So what does it mean?
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  4. #4
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    Re: Don't understand the and or thing

    as always, emakarov's interpretation is correct. ^ stands for AND (logic) Thanks emakarov! the answer is wrong!
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