2. Determine whether inf(aS) = a inf S for a € R, where a S = {as: 8 € S} for a nonempty set S of real numbers. If they
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2. Determine whether inf(aS) = a inf S for a € R, where a S = {as: 8 € S} for a nonempty set S of real numbers. If they
2. Determine whether inf(aS) = a inf S for a € R, where a S = {as: 8 € S} for a nonempty set S of real numbers. If they are equal, prove the claim. Otherwise, give conditions which will give equality.
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