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Question
The negation of the proposition “If 2 is prime, then 3 is odd”, is ______.
Options
If 2 is not prime, then 3 is not odd.
2 is prime and 3 is not odd.
2 is not prime and 3 is odd.
If 2 is not prime, then 3 is odd.
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Solution
The negation of the proposition “If 2 is prime, then 3 is odd”, is 2 is prime and 3 is not odd.
Explanation:
Let p : 2 is prime, q : 3 is odd
∴ ∼(p → q) ≡ p ∧ ∼q
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