Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 2 - The Logic of Compound Statements - Exercise Set 2.2 - Page 50: 46

Answer

b) , c) and e) should also be true.

Work Step by Step

Let us take two statements p and q. p : X is boiling. q : temperature of X is atleast 150deg p → q is true as according to the question. a) q → p is false. b) ~q → ~p is true (inverse of p → q ). c) ~q → ~p is true (inverse of p → q ). d) ~p → ~q is false. e) ~q → ~p is true (inverse of p → q ). f) q → p is false.
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