Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.3 Truth Tables for Negation, Conjunction and Disjunction - Exercise Set 3.3 - Page 149: 92

Answer

The truth value in the final column of the table shows the truth value of a compound statement as true or false for all the possible cases of the simple statements.

Work Step by Step

The truth value in the final column of the table shows the truth value of a compound statement as true or false for all the possible cases of the simple statements. Example: Assume a truth table: Consider the final column of the truth table. The symbolic form of the compound statement \[p\vee q\]shows disjunction of two simple statements \[p\]and \[q\]. The final column of the truth table shows that if both simple statements are false, then only it gives truth value as false, otherwise it gives true for all other conditions.
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