The statement (~p ∧ q) ∨ ~q is - Vidyadip

MCQ

The statement (~p ∧ q) ∨ ~q is

A
p ∨ q
B
p ∧ q
C
~(p ∨ q)
✓
~(p ∧ q)

✓

Answer

Correct option: D.

~(p ∧ q)

~(p ∧ q)
Hint:
(~p ∧ q) ∨ ~q = (~p ∨ ~q) ∧ (q ∨ ~q)
= (~p ∨ ~q) ∧ t
= ~p ∨ ~q
= ~(p ∧ q)

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