find 1 counter example to show the each conjecture is false. that means prove the follwing statment false. The product of 2 positive numbers is greater than either number. ok so I know product means to multiply but if you multiply you get a bigger number . Please help!!!!!!!!!!!!!!!!!!!! thanks :)
To find a counterexample for the statement "The product of 2 positive numbers is greater than either number," we need to find two positive numbers for which the product is not greater than either number.
First, let's rephrase the statement in mathematical terms: For any two positive numbers, x and y, it is not true that x * y > x or x * y > y.
To find a counterexample, we can randomly select two positive numbers and check if the product is greater than either number.
Let's choose x = 3 and y = 4. According to the statement, the product of x and y (3 * 4 = 12) should be greater than either x or y. However, we can observe that 12 is not greater than 3 or 4. Therefore, we have found a counterexample to prove that the statement is false.
In summary, the counterexample is:
x = 3, y = 4
To find this counterexample, you can randomly select different pairs of positive numbers and check if the product is greater than either number.