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

Prove that the following pair of statement pattern is equivalent. ~(p ∧ q) and ~p ∨ ~q - Mathematics and Statistics

Sum

Prove that the following pair of statement pattern is equivalent.

~(p ∧ q) and ~p ∨ ~q

Advertisement Remove all ads

Solution

1 2 3 4 5 6 7
p q ~p ~q p∧q ~(p∧q) ~p∨~q
T T F F T F F
T F F T F T T
F T T F F T T
F F T T F T T

In the above table, entries in columns 6 and 7 are identical.

∴ Statement ~(p ∧ q) and ~p ∨ ~q are equivalent.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×