Maharashtra State BoardHSC Commerce 12th Board Exam
Advertisement Remove all ads

Examine whether the following statement pattern is a tautology, a contradiction or a contingency. ~ p → (p → ~ q) - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

Examine whether the following statement pattern is a tautology, a contradiction or a contingency.

~ p → (p → ~ q)

Advertisement Remove all ads

Solution

p q ~p ~q p→~q ~p→(p→~q)
T T F F F T
T F F T T T
F T T F T T
F F T T T T

All the truth values in the last column are T. Hence, it is tautology.

Concept: Statement Patterns and Logical Equivalence
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×