solution of question 27,28,29

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 19E
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Need solution of question 27,28,29
22. (a → b)
p→~(rvs)
2.
2. (a→b)→w
3.
3. ~ W
4.
4. ~ w→ (rv s)
- w→(rvs)
5.
5. rvs
6. p→~(rvs)
7. ~ P
6.
7.
Statement
Reason
1. d
2. (s v w) →~ d
23. (s v w) →~d
1.
g→(c→h)
2.
3. (s v w)
3.
- (sv w) →g
4. ~ (s v w) → g
4.
c→h
5. g
5.
6. g → (c → h)
7. c → h
6.
7.
Problems 24-29 are all valid arguments. Construct a formal proof for
each argument.
24. r →~s
25. ~r →s
r
26. р -> (qvr)
27. s →(p→r)
~ (p→r)
qvr
28. p→r
29. p→r
r →9
Transcribed Image Text:22. (a → b) p→~(rvs) 2. 2. (a→b)→w 3. 3. ~ W 4. 4. ~ w→ (rv s) - w→(rvs) 5. 5. rvs 6. p→~(rvs) 7. ~ P 6. 7. Statement Reason 1. d 2. (s v w) →~ d 23. (s v w) →~d 1. g→(c→h) 2. 3. (s v w) 3. - (sv w) →g 4. ~ (s v w) → g 4. c→h 5. g 5. 6. g → (c → h) 7. c → h 6. 7. Problems 24-29 are all valid arguments. Construct a formal proof for each argument. 24. r →~s 25. ~r →s r 26. р -> (qvr) 27. s →(p→r) ~ (p→r) qvr 28. p→r 29. p→r r →9
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