Question

Which of the following is a counterexample of the statement below?

The product of two positive numbers is always greater than either number.

2, 2
½, 2
3, 10
2, -1

Answer 1

@bibby
last one, I chose C. Could you revise?

Answer 2

I chose C, because 3+10 are positive numbers. They equal up to 13. 14 is greater than both numbers.

Answer 3

we can cancel D because one of them isn't positive
btw notice, it says product. that means multiplication not addition

Answer 4

13 is greater than both numbers*

Answer 5

Right

Answer 6

No. You have to multiply them.

Answer 7

Oh.

Answer 8

I see my error

Answer 9

And keep in mind, that you have to find a counterexample.

Answer 10

but with b we have \(\dfrac{1}{2}\) and 2,, what is the product of these 2?

Answer 11

1

Answer 12

notice the initial condition. the product should be greater than either number, is this the case here?

Answer 13

so 1/2 * 2 is 1, so no

Answer 14

there's our counterexample

Answer 15

I see, thanks for everything!