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Answer to Question #18505 in Real Analysis for acy

Question #18505
let x be a nonempty set and let f: X->R have bounded range in R. if a element R , show that
sup(a+f(x): x element X)= a + sup (f(x): x element X)
and
inf(a+f(x): x element X)= a + inf (f(x): x element X)
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