Question: I need help with the following question: Let A and B be two nonempty bounded sets of nonnegative real numbers. Let C={ab a E A

I need help with the following question: Let A and B

I need help with the following question:

Let A and B be two nonempty bounded sets of nonnegative real numbers. Let C={ab a E A and bE B} . Show that C is a bounded set and that sup C = sup A. sup B

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