Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.4 - Predicates and Quantifiers - Exercises: 1

Answer

a) True b) True c) False

Work Step by Step

To evaluate a specific value of a predicate, we plug in the given value, and see whether that makes the resulting statement true. a) $P(0) :: = 0\leq 4$ Since $0\leq4$, this is true. b) $P(4) :: = 4\leq 4$ Since $4\leq4$, this is true. c) $P(6) :: = 6\leq 4$ Since $6\not\leq4$, this is false.
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