Discrete Mathematics with Applications 4th Edition

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

Chapter 3 - The Logic of Quantified Statements - Exercise Set 3.1 - Page 106: 5

Answer

a. if x=-2 and y=1 then Q(x,y) becomes: "If -2 < 1, then 4 < 1." The hypothesis of the conditional statement (-2 < 1) is true, but the conclusion (4 < 1) is false. Thus Q(-2,1) is false. b. Let x=-3, y=2. Or let x=-4, y=2. c. Q(3,8) is: "If 3 < 8, then 9 < 64." The hypothesis of the conditional statement (3<8) is true. The conclusion (9<64) is also true. So Q(3,8) is true. d. x=1, y=2. x=2, y=3. x=4, y=10.

Work Step by Step

b. Any values where x |y| will make Q(x,y) false. d. Any values for which x is less than y and will make q true.>
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