Truth table how would solve this problem? p ^ ~p = p v~p
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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Question
Truth table
how would solve this problem?
p ^ ~p =
p v~p
Expert Solution
Step 1
Let us construct the truth table for the given statement
p ^ ~p
is called negation operator, that is ~p is true if and only if p is false and vice versa.
is called logical conjunction, the statement p and ~p is true only if both are true, otherwise it is false.
| p | ~p | p ^ ~p |
| T | F | F |
| F | T | F |
If all the entries in the final column is false, then it is called as Contradiction.
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