Suppose that S and T are nonempty subsets of R which are bounded below, and thatS ⊆ T . Prove that inf S ≥ inf T
Question
Solution 1
Sure, here is the proof:
Since S is a subset of T, every element in S is also in T.
The infimum (inf) of a set is the greatest lower bound of that set.
Because every element of S is also an element of T, any lower bound of T is also a lower bound of S.
Therefore, the greatest lowe Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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