Question 6. Use logical equivalences to show the following equivalences. Clearly indicate which law you use in each step. (Just pick 2) (a) p→ q = ¬(p ^ ¬q) (b) (p ^ ¬q) V (¬p ^ q) = (p V q) ^ (-p V ¬g) (с) (р — (q Vr)) %3 (р — 9) v (р —))
Question 6. Use logical equivalences to show the following equivalences. Clearly indicate which law you use in each step. (Just pick 2) (a) p→ q = ¬(p ^ ¬q) (b) (p ^ ¬q) V (¬p ^ q) = (p V q) ^ (-p V ¬g) (с) (р — (q Vr)) %3 (р — 9) v (р —))
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Question 6. Use logical equivalences to show the following equivalences. Clearly indicate which
law you use in each step. (Just pick 2)
(a) p→ q = ¬(p ^ ¬q)
(b) (p^ ¬g) V (¬p ^ q) = (p V q) ^ (¬p V ¬9)
(c) (p → (q V r)) = ((p→ q) V (p → r))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F075bc335-d040-436d-b7b7-6aee66108145%2F09d81954-3470-45b6-9937-04c55584804e%2Fedoxlwn_processed.png&w=3840&q=75)
Transcribed Image Text:Question 6. Use logical equivalences to show the following equivalences. Clearly indicate which
law you use in each step. (Just pick 2)
(a) p→ q = ¬(p ^ ¬q)
(b) (p^ ¬g) V (¬p ^ q) = (p V q) ^ (¬p V ¬9)
(c) (p → (q V r)) = ((p→ q) V (p → r))
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