Let the antecedent be (p V ~q) ^ ~s and let the consequent be ~(s Aq) a) Write the truth table for the implication (p V ~q) ^ ~s → (s Aq) b) Then include a column at the end of the table for the converse of the implication. c) Now include a column at the end of the table for the contrapositive of the implication. Use a truth table to show that this logical law is a tautology: p v (q Ar) = (p V q) ^ (p V r)
Let the antecedent be (p V ~q) ^ ~s and let the consequent be ~(s Aq) a) Write the truth table for the implication (p V ~q) ^ ~s → (s Aq) b) Then include a column at the end of the table for the converse of the implication. c) Now include a column at the end of the table for the contrapositive of the implication. Use a truth table to show that this logical law is a tautology: p v (q Ar) = (p V q) ^ (p V r)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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