Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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Statements and Logic
Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.
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Suppose that x is a real number and that U CR. Prove that the following two conditions are equivalent: (a) The set U is a neighborhood of the number x. (b) It is possible to find two numbers a and b such that x E (a, b) C U.
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Transcribed Image Text:Suppose that x is a real number and that U CR. Prove that the following two conditions are equivalent: (a) The set U is a neighborhood of the number x. (b) It is possible to find two numbers a and b such that x E (a, b) C U.
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