2. Let X, Y be nonempty sets of real numbers that are bounded above. LetX + Y = {x + y:x € X and y ɛ Y}. Prove or give counterexamples to:sup(X + Y) < supX + supY.

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Answered: 2. Let X, Y be nonempty sets of real…

2. Let X, Y be nonempty sets of real numbers that are bounded above. Let X + Y = {x + y:x € X and y E Y}. Prove or give counterexamples to: sup(X + Y) < supX + supY.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.5: Graphs Of Functions

Problem 56E

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Question

2. Let X, Y be nonempty sets of real numbers that are bounded above. Let
X + Y = {x + y:x € X and y ɛ Y}. Prove or give counterexamples to:
sup(X + Y) < supX + supY.

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