Question: Suppose SR and T R are nonempty and bounded. Show that SUT is bounded and then prove that sup(SUT) = max(sup(S),sup(T)} (sup meaning the

Suppose SR and T R are nonempty and bounded. Show that SUT is bounded and then prove that sup(SUT) = max(sup(S),sup(T)} (sup meaning the least upper bound property) and prove inf(S UT) = min{inf(S),inf(T)} (inf meaning the greatest lower bound property) Show every step and justify each step with an axiom, theorem, or definition

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