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: 16

Answer

Martin Luther King, Jr. did not support violent protest, and he did not support the Vietnam War.

Work Step by Step

It is not true that Martin Luther King, Jr. supported violent protest or the Vietnam War. Let p and q represent the following statements: p: Martin Luther King, Jr. supported violent protest. q: Martin Luther King, Jr. supported the Vietnam War. The statement is of the form ~(p v q). An equivalent statement is ∼p ∧ ∼q. Therefore, the given statement is equivalent to: Martin Luther King, Jr. did not support violent protest, and he did not support the Vietnam War.
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