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| We had a problem similar to this in our honors calculus class last year; The way I found best was to start by contradiction, that they are not equal.
That is, if f is a function f: I -> A, then there is some element a in A such that a < -inf({f(x) : x in I}) with a an upper bound for {-f(x): x in I}.
What then, can you say about -a and its relation to {f(x) : x in I}
Well, at least something like that. |
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