Basic College Mathematics (9th Edition)

Published by Pearson
ISBN 10: 0321825535
ISBN 13: 978-0-32182-553-7

Appendix: Inductive and Deductive Reasoning - Appendix Exercises: 15


The conclusion follows the premises. Refer to the diagram below.

Work Step by Step

The Euler's circles for the first statement involve the circle for Animals being inside the circle for Wild. Note that lions are animals so the circle that will represent lions is inside the circle that represents all animals. Thus, the diagram will involve three circles: (1) The smallest circle, which is inside the circle that represents animals, represents the lions. (2) The medium circle, which is inside the circle that represents wild, represents all animals. (3) The biggest circle, which contains both smaller circles, represents wild. (Refer to the diagram in the answer part above.) The diagram shows that all lions are wild. Thus, the conclusion follows the premises.
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