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Question
If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is ______.
Options
Contradiction
Tautology
Neither (i) not (ii)
None of the these
Solution
If p and q are two statements then (p → q) ↔ (∼ q → ∼ p) is Tautology.
Explanation:
| pq | ~q → ~p | q → p ↔ ~q ↔ ~p |
| T | T | T |
| F | F | T |
| T | T | T |
| T | T | T |
Therefore, it is a tauology
Hence, the given proposition is a tautology.
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