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Question
Which of the following is logically equivalent to ∼(∼p→q)?
Which of the following is logically equivalent to ∼(∼p→q)?
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Solution
The correct option is D ∼p∧∼q
p q ∼p ∼q ∼p→q ∼(∼p→q) p∧q p∧∼q ∼p∧q ∼p∧∼q T T F F T F T F F F T F F T T F F T F F F T T F T F F F T F F F T T F T F F F T
The values in column 6 and column 10 are same.Hence, option D is correct.
| p | q | ∼p | ∼q | ∼p→q | ∼(∼p→q) | p∧q | p∧∼q | ∼p∧q | ∼p∧∼q |
| T | T | F | F | T | F | T | F | F | F |
| T | F | F | T | T | F | F | T | F | F |
| F | T | T | F | T | F | F | F | T | F |
| F | F | T | T | F | T | F | F | F | T |
Hence, option D is correct.
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