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Question
The statement pattern (∼ p ∧ q) is logically equivalent to ______.
Options
(p ∨ q) ∨∼ p
(p ∨ q) ∧∼ p
(p ∧ q) `rightarrow` p
(p ∨ q) `rightarrow` p
MCQ
Fill in the Blanks
Solution
The statement pattern (∼ p ∧ q) is logically equivalent to (p ∨ q) ∧∼ p.
Explanation:
The truth table is given below
| p | q | ∼p | p ∨ q | ∼p ∧ q | (p ∨ q) ∧ ∼q |
| T | T | F | T | F | F |
| T | F | F | T | F | F |
| F | T | T | T | T | T |
| F | F | T | F | F | F |
∴ (∼p ∧ q) ≡ (p ∨ q) ∧∼p
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