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Suppose A ⊆ R is nonempty and bounded above and β ∈ R. Let A +...

Suppose A ⊆ R is nonempty and bounded above and β ∈ R. Let A + β = {a + β : a ∈ A}

Prove that A + β has a supremum and sup(A + β) = sup(A) + β.

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