Let p, q and r be statements. Here "-" means "negation"; "" means "is equivalent"; "=" means "implies". Which of the following are tautologies? Select one or more: O a. (pAq) q O b. (pq) (-pV-q) O c. pV(-q) O d. (p=q)(-p=¬4) O e. (-p q)p O f. q V-g O g. (-p)=q) + p O h. (p=q) (-q=¬p) O i. (pA(p=q))= q O j. pVq V(¬r)
Let p, q and r be statements. Here "-" means "negation"; "" means "is equivalent"; "=" means "implies". Which of the following are tautologies? Select one or more: O a. (pAq) q O b. (pq) (-pV-q) O c. pV(-q) O d. (p=q)(-p=¬4) O e. (-p q)p O f. q V-g O g. (-p)=q) + p O h. (p=q) (-q=¬p) O i. (pA(p=q))= q O j. pVq V(¬r)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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
Transcribed Image Text:Let p, q and r be statements. Here "-" means "negation"; "+" means "is equivalent"; "=" means "implies". Which of the following are tautologies?
Select one or more:
O a. (pAq)=q
O b. (p + q) +(¬p V¬q)
O c. pV(¬q)
O d. (p=q) +(-p=¬q)
O e. (-p=q) + p
O f. q V¬q
O g. (-p)=q) +p
O h. (p=q) +(¬q=-p)
O i. (pA(p=q))=q
O j. pVq V(¬r)
Check
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