Which of the following is the inverse of the proposition: “If a number is a prime then it is odd”?
Which of the following is the inverse of the proposition: “If a number is a prime then it is odd”?
The correct option is B If a number is not a prime then it is not odd
Explanation for the correct option:
Natural number: Natural numbers are the numbers that are used to count and arrange things.
It begins at 1 and ends at infinity.
Whole number: The whole numbers are natural numbers including zero.
Prime number: Natural numbers that are divisible only by 1 and the number themselves are known as prime numbers.
Odd number: Odd numbers are whole numbers that cannot be divided by two to produce two equal whole numbers.
Given, “If a number is a prime then it is odd”.
The inverse of the proposition of the part “If a number is a prime” is If a number is not a prime.
The inverse of the proposition of the part “then it is odd” is then it is not odd.
Therefore, we get the total inverse of the proposition is if a number is not a prime then it is not odd.
Hence, the correct option is option (B).
If a number is not a prime then it is not odd
Explanation for the correct option:
Natural number: Natural numbers are the numbers that are used to count and arrange things.
It begins at 1 and ends at infinity.
Whole number: The whole numbers are natural numbers including zero.
Prime number: Natural numbers that are divisible only by 1 and the number themselves are known as prime numbers.
Odd number: Odd numbers are whole numbers that cannot be divided by two to produce two equal whole numbers.
Given, “If a number is a prime then it is odd”.
The inverse of the proposition of the part “If a number is a prime” is If a number is not a prime.
The inverse of the proposition of the part “then it is odd” is then it is not odd.
Therefore, we get the total inverse of the proposition is if a number is not a prime then it is not odd.
Hence, the correct option is option (B).
