Show the conjecture is false by finding a counterexample.
If the product of two numbers is positive, then the two numbers must both be positive.

The correct answer is: the given statement is false

We have given a statement If the product of two numbers is positive, then the two numbers must both be positive.

If we consider two positive numbers 7 and 9

Then , their product, 7 x 9 = 63

Hence, the statement is correct for positive integers

Suppose we take two negative integers - 7 and - 9

Then, their product, - 7 x - 9 = 63

So,The product of any two positive numbers is positive, and the product of any two negative numbers is also positive.
Therefore, the given statement is false.