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  3. 3. suppose a and b are non-empty sets of real numb

3. Suppose A and B are non-empty sets of real numbers that are both bounded above. (a)...

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Advance Math

3. Suppose A and B are non-empty sets of real numbers that areboth bounded above.

(a) Prove that, if A ? B, then supA ? supB.

(b) Prove that supA?B = max{supA,supB}.

(c) Prove that, if A?B 6= ?, then supA?B ? min{supA,supB}. Givean example to show that equality need not hold.

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