Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 3 - Logic - 3.6 Negations of Conditional Statements and De Morgan's Law - Exercise Set 3.6: 21

Answer

If you do not succeed, you did not attend lecture or did not study.

Work Step by Step

If you attend lecture and study, you succeed. Let p, q, and r represent the following simple statements: p: You attend lecture. q: You study. r: You succeed. The given conditional statement can be represented in symbolic form as: (p ᴧ q) → r An equivalent statement is the contrapositive: ~r→ ~(p ᴧ q) Using De-morgan's law, we can write: ~r → (~p v ~q) If you do not succeed, you did not attend lecture or did not study.
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