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: 87

Answer

A conjunction is true only when all the statements are true.

Work Step by Step

A conjunction is true only when all the statements are true. For an example, let’s take a statement, “Food is good and I had it”. Assume that and are the statements such that: : Food is good. : I will have it. The above assumed statement gives truth value only if food is good then I will have it. This shows that both statements must be true to make the statement true. Since there are two statements, there will exist four conditions for truth value. Consider the truth table for this statement of conjunction:
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