Let S be a nonemptyboundedset in IR. (a) Let a > 0, andlet as := {as:s e S}. Provethat
Chapter 2, Problem 4(choose chapter or problem)
Let S be a nonemptyboundedset in IR. (a) Let a > 0, andlet as := {as:s e S}. Provethat inf(aS) = a inf S, sup(aS) = a sup S. (b) Let b < 0 and let bS = {bs: s e S}. Prove that inf(bS) = b sup S, sup(bS) = b inf S.
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