Write a logically equivalent statement for C,D and E

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.3: The Field Of Quotients Of An Integral Domain
Problem 6E
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Write a logically equivalent statement for C,D and E
c) Distributive Equivalence:
SA(-BvD)
Av [- M^(C→ D)]
d) Conditional Equivalence:
- A - (BA C)
Pv (Q R)
-(-Mv N)
e) Contrapositive Equivalence:
- P → - (Q^ R)
A (M v C)
8) Use the Conditional and DeMorgan's Equivalencies to change the following statements:
a) (A B)→ ~ (R → S)
b) [(M v N)→ R]
c) Q (P M)
Transcribed Image Text:c) Distributive Equivalence: SA(-BvD) Av [- M^(C→ D)] d) Conditional Equivalence: - A - (BA C) Pv (Q R) -(-Mv N) e) Contrapositive Equivalence: - P → - (Q^ R) A (M v C) 8) Use the Conditional and DeMorgan's Equivalencies to change the following statements: a) (A B)→ ~ (R → S) b) [(M v N)→ R] c) Q (P M)
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