Tantologies are logical expressions that are always trne. Decide if the following proposi- 4. tion forms are tautologies using a truth table. Make sure your truth table shows all intermediate logical expressions - for example, in showing the truth table for (pV-q) Ap, your table should contain separate columns for p, q,-q, pV-q, as well as the final expression. You should also clearly state your final answer to the question. (a) [(p V q) v (pA) (p 9) (b) [(-pAq) » (pV-) = (pV -p)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Tantologies are logical expressions that are always trne. Decide if the following proposi-
4.
tion forms are tautologies using a truth table. Make sure your truth table shows all intermediate
logical expressions - for example, in showing the truth table for (pV-q) Ap, your table should
contain separate columns for p, q,-q, pV-q, as well as the final expression. You should also
clearly state your final answer to the question.
(a) [(p V q) v (pA)A (p 9)
(b) [(-pAq)
- (pV-p)
Transcribed Image Text:Tantologies are logical expressions that are always trne. Decide if the following proposi- 4. tion forms are tautologies using a truth table. Make sure your truth table shows all intermediate logical expressions - for example, in showing the truth table for (pV-q) Ap, your table should contain separate columns for p, q,-q, pV-q, as well as the final expression. You should also clearly state your final answer to the question. (a) [(p V q) v (pA)A (p 9) (b) [(-pAq) - (pV-p)
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