# Answer to Question #30050 in Real Analysis for aida

Question #30050

Let E⊆R be nonempty. Prove that:

(i)E has an infimum if and only if –E has a supremum, in which case

sup(-E)=-infE.

(i)E has an infimum if and only if –E has a supremum, in which case

sup(-E)=-infE.

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