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 108: 32

Answer

a)True b)True c)False d)True

Work Step by Step

a)True, if x is greater then 2 it is also greater then 1 b)True, because if its greater then x, x^2 would be greater then 4 c)False, Counterexample if x=-3 x^2=9 which is greater then 4, but -3 is not greater then 2 d)True, similar to b however x is now |x| which means x is always positve
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