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Question
The statement ∼(p ↔ ∼q) is ______
Options
a tautology
a fallacy
equivalent to p ↔ q
equivalent to ∼p ↔ q
MCQ
Fill in the Blanks
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Solution
The statement ∼(p ↔ ∼q) is equivalent to p ↔ q.
Explanation:
| 1 | 2 | 3 | 4 | 5 | 6 |
| p | q | ∼q | p ↔ ∼q | ∼(p ↔ ∼q) | p ↔ q |
| T | T | F | F | T | T |
| T | F | T | T | F | F |
| F | T | F | T | F | F |
| F | F | T | F | T | T |
The entries in columns 5 and 6 are identical.
∴ ∼(p ↔ ∼q) ≡ p ↔ q
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