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5. Let ACR be a non-empty set that is bounded above, and x E R. Define the set: (x+A) = {x+a: a A} (i.e.
5. Let ACR be a non-empty set that is bounded above, and x E R. Define the set: (x+A) = {x+a: a A} (i.e. the set obtained by adding x to every element of A. For example, if A = {1,2,3} then (1+ A) = {2, 3, 4}.) Show that sup(x+4)=x+ sup(A).
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Introduction to Real Analysis
Authors: Robert G. Bartle, Donald R. Sherbert
4th edition
471433314, 978-1118135853, 1118135857, 978-1118135860, 1118135865, 978-0471433316
