SOLUTION: 1. (A->B) v (C•D) 2.A //-B->C
Algebra
->
Proofs
-> SOLUTION: 1. (A->B) v (C•D) 2.A //-B->C
Log On
Logic: Proofs
Logic
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Proofs
Question 996914
:
1. (A->B) v (C•D)
2.A
//-B->C
Answer by
jim_thompson5910(35256)
(
Show Source
):
You can
put this solution on YOUR website!
Number
Statement
Lines Used
Reason
1
(A -> B) v (C * D)
2
A
:.
~B -> C
3
(~A v B) v (C * D)
1
MI
4
[(~A v B) v C] * [(~A v B) v D]
3
Dist
5
[(~A v B) v C]
4
Simp
6
~A v (B v C)
5
Assoc
7
~~A
2
DN
8
B v C
6,7
DS
9
~~B v C
8
DN
10
~B -> C
9
MI
Acroynyms/Abbreviations Used:
MI = Material Implication
Dist = Distribution
Assoc = Association
Simp = Simplification
DN = Double Negation
DS = Disjunctive Syllogism