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: 8

Answer

a) I did not buy a lottery ticket this week. b) I bought a lottery ticket this week, and I won the million dollar jackpot! c) If I bought a lottery ticket this week, I won the million dollar jackpot. d) I either bought a lottery ticket this week or I won the million dollar jackpot. e) If I won the million dollar jackpot I bought a lottery ticket this week, and if I bought a lottery ticket this week I won the million dollar jackpot. f) If I did not buy a lottery ticket this week, I did not win the million dollar jackpot. g) I either did not buy a lottery ticket this week or I did not win the million dollar jackpot. h) If I bought a lottery ticket this week, I won the million dollar jackpot; otherwise, I did not buy a ticket.

Work Step by Step

To solve this problem, the task is to incorporate "I bought a lottery ticket this week" for p and "I won the million dollar jackpot" for q so that the proposition makes sense in English.
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