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Use DeMorgan's Law to determine whether the statements are logically equivalent. ~(~p^~q) and pv ~ q Review logically equivalent statements here and DeMorgan's Law here. O No,~(~PA~q) O No, ~(~PA~q) #pV~q because a disjunction cannot be equivalent to a conjunction. Yes,~(~p^~q) Yes #pV~q because they do not have the same truth values in for each row in the trut = pV ~ q because they have the same number of "true" truth values in the final col ~~^~a) = px~ a because they have the same truth values for each row in the truth table

Use DeMorgan's Law to determine whether the statements are logically equivalent. ~(~p^~q) and pv ~ q Review logically equivalent statements here and DeMorgan's Law here. O No,~(~PA~q) O No, ~(~PA~q) #pV~q because a disjunction cannot be equivalent to a conjunction. Yes,~(~p^~q) Yes #pV~q because they do not have the same truth values in for each row in the trut = pV ~ q because they have the same number of "true" truth values in the final col ~~^~a) = px~ a because they have the same truth values for each row in the truth table

Algebra and Trigonometry (6th Edition)
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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Use DeMorgan's Law to determine whether the statements are logically equivalent. ~(~p^~q) and pv ~ q Review logically equivalent statements here and DeMorgan's Law here. No, ~(~p^~q) # pV ~q because they do not have the same truth values in for each row in the truth table. O No, ~(~p^~q) # pV ~q because a disjunction cannot be equivalent to a conjunction. Yes,~(~p^~q) = pv ~q because they have the same number of "true" truth values in the final column. Yes,~(~p^~q) = pv ~q because they have the same truth values for each row in the truth table.
Transcribed Image Text:Use DeMorgan's Law to determine whether the statements are logically equivalent. ~(~p^~q) and pv ~ q Review logically equivalent statements here and DeMorgan's Law here. No, ~(~p^~q) # pV ~q because they do not have the same truth values in for each row in the truth table. O No, ~(~p^~q) # pV ~q because a disjunction cannot be equivalent to a conjunction. Yes,~(~p^~q) = pv ~q because they have the same number of "true" truth values in the final column. Yes,~(~p^~q) = pv ~q because they have the same truth values for each row in the truth table.
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