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 - Page 54: 22

Answer

(a) “True" domain = Indian people “False" domain = All people in the world (b) "True" domain = All college students "False“ domain = All children in a kindergarten class. (c) “True" domain = Jennifer Lopez, Jennifer Aniston, Jennifer Lawrence. “False“ domain = All people in the world. (d) “True" domain = All people in the world. "False" domain = All people that live alone on an uninhabited island.

Work Step by Step

(a) The following domain makes the statement true, because all Indians speak Hindi (since it is their national language). "True" domain = Indian people The following domain makes the statement false, because there are many people in the world that cannot speak Hindi. “False'' domain = All people in the world (b) The following domain makes the statement true, because many college students are older than 21 years. ’’True” domain = All college students The following domain makes the statement false, because all children in a kindergarten class are between the ages of 2 and 7 (age depends on the country). ''False" domain = All children in a kindergarten class. (c) The following domain makes the statement true, because all people in the domain have the same first name. ’’True" domain = Jennifer Lopez, Jennifer Aniston, Jennifer Lawrence. The following domain makes the statement false, because there are many different first names in the world. "False" domain = All people in the world. (d) The following domain makes the statement true, because there will be a person that knows more than two other people (most likely including yourself). "True", domain = All people in the world. The following domain makes the statement false, because people that live alone on an uninhabited island don’t know every bod}' beside themselves. "False’’ domain = All people that live alone on an uninhabited island.
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