Question: Given a set E CR and r > 0, define the set rE = {rx :x EE} (a) Suppose that E is bounded above.

Given a set E CR and r > 0, define the set rE = {rx :x EE} (a) Suppose that E is bounded above. Show that sup(rE) = r sup E (b) If we allow r < 0, find an example where the above formula fails.

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