Essentials of DISCRETE MATHEMATICS

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 77E
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Essentials of DISCRETE MATHEMATICS

e) Two sets X and Y have the same cardinality Iff there is a bijection f:X → Y.
f) The set X of numbers defined recursively as follows:
1. 2 e X.
2. If x E X, so is 5x.
3. If x E X, so is x+4.
Contains odd numbers.
Transcribed Image Text:e) Two sets X and Y have the same cardinality Iff there is a bijection f:X → Y. f) The set X of numbers defined recursively as follows: 1. 2 e X. 2. If x E X, so is 5x. 3. If x E X, so is x+4. Contains odd numbers.
2.
True or False. Explain why? Justify your answer mathematically. Use examples,
counterexamples, definitions or previously proven properties to support your answer (if
needed).
Transcribed Image Text:2. True or False. Explain why? Justify your answer mathematically. Use examples, counterexamples, definitions or previously proven properties to support your answer (if needed).
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