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Question
The statement pattern (p ∧ q) ∧ [~ r v (p ∧ q)] v (~ p ∧ q) is equivalent to ______.
Options
r
q
p ∧ q
p
MCQ
Fill in the Blanks
Solution
The statement pattern (p ∧ q) ∧ [~ r v (p ∧ q)] v (~ p ∧ q) is equivalent to q.
Explanation:
We have, (p ∧ q) ∧ [~ r v (p ∧ q)] v (~ p ∧ q)
≡ (p ∧ q) v (~ p ∧ q)
≡ (p v ~ p) ∧ q
≡ T ∧ q = q
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