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 148: 68

Answer

The given statement in symbolic form is\[\left( p\wedge \sim q \right)\vee \sim p\], and it gives truth value as true only when the statement \[p\] is true and\[q\]can be either true or false

Work Step by Step

Assume the statement: \[p\]: You notice this notice. \[q\]: This notice is worth noticing. The given statement first shows the conjunction of the statement\[p\]and negation of the statement \[q\]and then disjunction with negation of the\[p\]. Hence, the given statement in symbolic form is\[\left( p\wedge \sim q \right)\vee \sim p\].The truth table for the given statement is below:
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