(V) Let A ⊆ R, B ⊆ R, A 6= ∅, B 6= ∅ be two...

(V) Let A ⊆ R, B ⊆ R, A 6= ∅, B 6= ∅ be two bounded subset of R. Define a set A − B := {a − b : a ∈ A and b ∈ B}. Show that sup(A − B) = sup A − inf B and inf(A − B) = inf A − sup B

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Colby Messinger answered 1 year ago

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