Discrete Mathematics with Applications 4th Edition

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

Chapter 1 - Speaking Mathematically - Exercise Set 1.1: 11

Answer

a. All positive numbers have positive square roots. b. For any positive number $e$, there is a positive square root for $e$. c. For all positive numbers $e$, there is a positive number $r$ such that $r$ is the square root of $e$.

Work Step by Step

Note that the statement in (a) contains the same information as the statements in (b) and (c), but without variables. This statement is less formal, but contains exactly the same information: the variable names in the other parts are only placeholders.
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