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

Question

Which of the following is the inverse of the proposition: "If a number is a prime, then it is odd"? (A) If a number is not a prime, then it is odd (B) If a number is not a prime, then it is not odd (C) If a number is not odd, then it is not a prime (D) If a number is odd, then it is a prime

Tardigrade Admin · Accepted Answer

Let p: A number is a prime q: It is odd Given proposition is p arrow q its inverse is ∼ q arrow ∼ q. i. e, If a number is not prime, then it is not odd.

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

If a number is not a prime, then it is odd

If a number is not a prime, then it is not odd

If a number is not odd, then it is not a prime

If a number is odd, then it is a prime

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

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

If a number is not a prime, then it is odd

If a number is not a prime, then it is not odd

If a number is not odd, then it is not a prime

If a number is odd, then it is a prime

Let p : A number is a prime q: It is odd Given proposition is p→q its inverse is ∼q→∼q. i. e, If a number is not prime, then it is not odd.

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