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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
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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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
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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