# 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)

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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