Question

If the product of two numbers is odd, then both numbers must be odd.

Inverse:
a) If the product of two numbers is even, then both numbers must be even.
b) If the product of two numbers is odd, then both numbers must be even.
c) If the product of two numbers is even, then one number must be odd and the other even.
d) If the product of two numbers is odd, then one number must be even and the other odd.

Answer 1

The correct inverse statement is that if two numbers have an even product, then at least one of the numbers must be even.

Step-by-step explanation:

The product of two numbers determines whether the result is even or odd based on the properties of the original numbers. If two numbers multiply to an odd number, then it is a fact that both numbers must be odd.

The inverse of this statement does not necessarily mean that both numbers are even if their product is even; instead, it only requires that at least one of the numbers is even for their product to be even.

Therefore, the correct inverse to the original statement is: If the product of two numbers is even, then one number must be odd and the other even.