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 1.6 - Rules of Inference - Exercises - Page 79: 17

Answer

The argument is not valid

Work Step by Step

Because it makes an unjustified leap from the premise to the conclusion. The premise ∃xH(x) indicates that there exists at least one individual x who is happy, but it does not specifically tell us that Lola is that individual. Therefore, the conclusion "Lola is happy" cannot be validly inferred from the given premise. The premise only asserts the existence of a happy individual but doesn't identify who that individual is.
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