Explanation Given information: Use the contrapositive to rewrite the statements in if-then form in two ways. Being divisible by 3 is a necessary condition for this number to be divisible by 9. The statement “ q is a necessary condition for occurring p ” can be written in if-then form as----If p then q and If ∼ q then ∼ p Here the statement is Being divisible by 3 is a necessary condition for this number to be divisible by 9

5th Edition

ISBN: 9781337694193

Author: EPP, Susanna S.

Publisher: Cengage Learning,

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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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Chapter 2.2, Problem 42ES

To determine

To rewrite:

The given statement in if-then formusing the contrapositive method.

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Chapter 2.2, Problem 41ES

Chapter 2.2, Problem 43ES

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Chapter 2 Solutions

Discrete Mathematics With Applications

Ch. 2.1 - An and statement is true when, and only when, both...Ch. 2.1 - An or statement is false when, and only when, both...Ch. 2.1 - Two statement forms are logically equivalent when,...Ch. 2.1 - De Morgan’s laws say (1) that the negation of an...Ch. 2.1 - A tautology is a statement that is always _____.Ch. 2.1 - A contradiction is a statement that is always...Ch. 2.1 - In eachof 1—4 represent the common form of each...Ch. 2.1 - In each of 1-4 represent the common form of each...Ch. 2.1 - In each of 1—4 represent the common form of each...Ch. 2.1 - In each of 1—4 represent the common form of each...

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Prob. 46ES Ch. 2.5 - Prob. 47ES

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To rewrite: The given statement in if-then formusing the contrapositive method.

Solution Summary: The author explains how the contrapositive method can be used to rewrite the statements in if-then form.