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  4. Which of the following is the inverse of the proposition: If a number is a prime, then it is odd?

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Q. Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?

Mathematical Reasoning

Solution:

Let $p$ : A number is a prime
$q$: It is odd
Given proposition is $p \rightarrow q$ its inverse is $\sim q \rightarrow \sim q$.
i. e, If a number is not prime, then it is not odd.