Thinking Mathematically (6th Edition)

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

Chapter 3 - Logic - 3.4 Truth Tables for the Conditional and the Biconditional - Exercise Set 3.4 - Page 161: 91

Answer

In case of a conditional statement, it is false only when the antecedent is true and the consequent is false. A conditional statement\[p\to q\] is false only when p is true and q is false. In rest all other cases, it is true. The truth table for statement \[\text{ }p\to q\text{ }\]is It is observed that\[\text{ }p\to q\text{ }\] can be false only when p is true and q is false.For other possible combination of truth values, the conditional statement is true.
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