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Math Help - sup(AB) = sup(A)sup(B) Question

  1. #1
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    sup(AB) = sup(A)sup(B) Question

    I know sup(AB) = sup(A)sup(B) if A and B are nonnegative, but what if the assumption is dropped that A and B are nonnegative. Does this change the answer?
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  2. #2
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    Re: sup(AB) = sup(A)sup(B) Question

    Quote Originally Posted by mikewienerm View Post
    I know sup(AB) = sup(A)sup(B) if A and B are nonnegative, but what if the assumption is dropped that A and B are nonnegative. Does this change the answer?
    Please tell us what are A & B? In what sense are they nonnegative?
    Just define your terms.
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  3. #3
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    Re: sup(AB) = sup(A)sup(B) Question

    Consider the case where A is the set [-10,5] and B is the set [-10,4]
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