Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.2 Compound Statements and Connectives - Exercise Set 3.2 - Page 134: 114

Answer

When two cases are joined by disjunction ‘or’ then three conditions arise: Condition 1: First case happens but not the second. Condition 2: Second case happens but not the first. Condition 3: Both conditions happen.

Work Step by Step

Based on the statement told by the friend that he has plans to visit Paris or London, conditions that arises are: Condition 1: He visits Paris but not London. Condition 2: He visits London but not Paris. Condition 3: He visits both Paris and London. Because disjunction ‘or’ is used here. Now, if he visits Paris and London is not visited, then condition 1 can be concluded i.e., ‘He visits Paris but not London’. Further, if he visits Paris and London might be visited, then condition 3 can be concluded i.e., ‘He visits Paris and London both’. Moreover, if he does not visit Paris then condition 2 can be concluded i.e., ‘He visits London but not Paris’.
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