Question

① Nevigation of P - (P V Q ​

Answer 1

Answer:

Truth table

p q ∼p ∼q (∼p∨q) p→(∼p∨q) (−p∨−q) p∨(∼p∨q) ∼(p∨q) p→∼(p∨q) p→q p∧∼q ∼[p→(∼p∨q)]

F F T T T T T T T T T F F

F T T F T T F F F T T F F

T F F T F F T T F F F T T

T T F F T T T T F F T F F

Here, we observe that the truth value of column ∼[p→(∼p∨q)] and (p∧∼q) are same.

Hence,∼[p→(∼p∨q)]≡(p∧∼q)

Step-by-step explanation:

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