Question

Find one counterexample to show that each conjecture is false.
The product of two positive numbers is greater than either number.

Answer 1

Find one counterexample:
"The product of two positive numbers is greater than either number"

For example: 5*(1/2)=2.5 < 5

If at least one of the numbers is smaller than one, then the product is smaller than at least one of the two numbers. For example:
5*(1/2)=2.5 < 5

Answer 2

the sum of two numbers is greater than either number

Answer 3

2 &2