II. Write the following arguments in vertical form and test the validity. 1. ((p → q) ^ (r → s) ^ (p V r)) = (q V s) 2. ((i → j) ^ (j → k) ^ (1 → m) ^ (i V l)) → (~ k^ ~ m) 3. [((n V m) → p) ^ ((p V q) → r) ^ (q V n) ^ (~ q)] = r

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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answer only number 2, and 3. this questions are not graded.

III. Write the following arguments in vertical form and test the validity.
1. ((p → q) ^ (r → s) ^ (p V r)) → (q V s)
2. ((i → j) ^ (j –→ k) ^ (1 → m) ^ (i V l)) = (~ k^ ~ m)
3. [((n V m) → p) ^ ((p V q) → r) ^ (q V n) ^ (~ q)] =r
Transcribed Image Text:III. Write the following arguments in vertical form and test the validity. 1. ((p → q) ^ (r → s) ^ (p V r)) → (q V s) 2. ((i → j) ^ (j –→ k) ^ (1 → m) ^ (i V l)) = (~ k^ ~ m) 3. [((n V m) → p) ^ ((p V q) → r) ^ (q V n) ^ (~ q)] =r
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