Let S and T be subsets of R such that s < t for each s ∈ S and each t ∈ T. Prove carefully that sup S ≤ inf T.
Attempt:
I start by using the definition for supremum and infinum, and let sup(S)= a and inf(T)= b
i know that a> s and b< t for all s and t. How do i continue? , do i prove it...
Homework Statement
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