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 1.1 - Propositional Logic - Exercises - Page 14: 22

Answer

a) If you get promoted, you washed the boss's car. b) If there are winds from the south, there is a spring thaw. c) If you bought the computer less than a year ago, the warranty is good. d) If Willy cheats, he will get caught. e) If you pay a subscription fee, you can access the website. f) If you know the right people, you get elected. g) If Carol is on a boat, she gets seasick.

Work Step by Step

Here , we are given various forms of implication statement.. We have to convert them to the if p then q form. a) If you get promoted , then you washed the boss's car.( q is necessary for p form ) b) If there are winds from the south , then there is a spring thaw. c) If you bought the computer less than a year ago, then the warranty is good. ( p is sufficient for q form) d) If Willy cheats , then he will get caught. ( q whenever p form) e) If you access the website ,then you pay a subscription fee. ( p only if q form) f) If you know the right person, then you get elected.( q follows from p form) g) If Carol is on a boat, then she gets seasick.( q whenever p form)
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