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Math Help - A+B is bounded.

  1. #1
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    A+B is bounded.

    If c1 is an upper bound for A and c2 is an upperbound for B, then c1+c2 is an upperbound for A+B

    Could anyone get me started? I can't seem to find the definition of A+B. Any help please?
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  2. #2
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    Quote Originally Posted by glover_m View Post
    If c1 is an upper bound for A and c2 is an upperbound for B, then c1+c2 is an upperbound for A+B

    Could anyone get me started? I can't seem to find the definition of A+B. Any help please?
    Definitely its an upper bound, but it may not be the least upper bound. Lets take
    A=sinx, c1=1(Least upper bound)
    B=cosx, c2=1(Least upper bound)
    A+B=sinx + cosx, for which least upper bound is 2 but not c1+c2=2.
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