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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