(a) (p^q) Art p^(qAr) (b) p → (p → q), p q (c) q (p r), ¬r, q F -p (d) F (pAq) p (e) PFq - (pAq) (f) PF (p→ q) → q (g) (p → r) A (q r)F pAq→r (h) q -rF (p-→ q) → (p→ r) (q - r), p qE p r (i) p → (q → r), p→ qt p r (j) p q,r stpVrq V s

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.2: Real Numbers
Problem 5E
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Prove the validity of the following sequences
(a) (pAq) Art p^ (q Ar)
(b) p– (p - q), pF q
(c) q (p r),¬r, qF-p
(d) F(pAq) -p
(e) pFq- (p ^ q)
(f) PF (p→q) → q
(g) (p r) A (q r)FpAq r
(h) q - rF (p -→ q) (p- r)
(i) p → (q → r),p → qFp r
(i) p- q, r – sFpVr - q Vs
Transcribed Image Text:(a) (pAq) Art p^ (q Ar) (b) p– (p - q), pF q (c) q (p r),¬r, qF-p (d) F(pAq) -p (e) pFq- (p ^ q) (f) PF (p→q) → q (g) (p r) A (q r)FpAq r (h) q - rF (p -→ q) (p- r) (i) p → (q → r),p → qFp r (i) p- q, r – sFpVr - q Vs
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