Maths-

General

Easy

Question

# 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.

Therefore, the given statement is false.

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