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3. Complete the truth table for the following, then use it to answer the following questions. ABA B| B= A ¬A= ¬B ¬B=¬A | T|T TF FT FF (a) If possible, find statements A and B where A =→ B is true but B= A is false. If not possible, explain why. (b) If possible, find statements A and B where A = B is true but ¬A = ¬B is false. If not possible, explain why. (c) If possible, find statements A and B where A = B is true but -B = ¬A is false. If not possible, explain why.

3. Complete the truth table for the following, then use it to answer the following questions. ABA B| B= A ¬A= ¬B ¬B=¬A | T|T TF FT FF (a) If possible, find statements A and B where A =→ B is true but B= A is false. If not possible, explain why. (b) If possible, find statements A and B where A = B is true but ¬A = ¬B is false. If not possible, explain why. (c) If possible, find statements A and B where A = B is true but -B = ¬A is false. If not possible, explain why.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. Complete the truth table for the following, then use it to answer the following questions. A BA= B B = A ¬A = ¬B ¬B = ¬A TT TF FT FF (a) If possible, find statements A and B where A = B is true but B= A is false. If not possible, explain why. (b) If possible, find statements A and B where A = B is true but ¬A = ¬B is false. If not possible, explain why. (c) If possible, find statements A and B where A = B is true but -B = ¬A is false. If not possible, explain why.
Transcribed Image Text:3. Complete the truth table for the following, then use it to answer the following questions. A BA= B B = A ¬A = ¬B ¬B = ¬A TT TF FT FF (a) If possible, find statements A and B where A = B is true but B= A is false. If not possible, explain why. (b) If possible, find statements A and B where A = B is true but ¬A = ¬B is false. If not possible, explain why. (c) If possible, find statements A and B where A = B is true but -B = ¬A is false. If not possible, explain why.
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