Question

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

Answer 1

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

Answer 2

How do i solve this I'm so confused.

Answer 3

Are there answer choices or no.

Answer 4

No. It just says find one counterexample to show that the conjecture is false

Answer 5

How about 1*2=2

Answer 6

Oh ok. Thank you. Im probably gonna ask more questions later on

Answer 7

You're welcome and ok.

Answer 8

\(\dfrac{1}{2}\times\dfrac{1}{2}\) is another counterexample.

Answer 9

Yeah

Answer 10

ok what about this one. The difference between two integers is less than either integer. What could I put?

Answer 11

first integer: 10
second integer: -10
difference: 20

Answer 12

Did this help?

Answer 13

No i dont get it. Explain

Answer 14

A counterexample is something the fulfills all the preliminary requirements, but not the conclusion. Try writing your question like this....
Given two integers A and B, A - B must be less than either A or B.
Remember that an integer can be 0 or negative! So pick any positive integer and any negative integer. Try 5 and -7.
Given two integers 5 and -7, 5 - -7 must be less than 5 or less than -7.
But 5 - -7 is 12.
There's your counterexample.

Answer 15

did that help

Answer 16

oh ok. Yes thank you. You really helping me lol

Answer 17

:) Your welcome

Answer 18

Do you have any other questions?

Answer 19

ok one more question. if it says that the sum of the first 100 positive even numbers, do i take 100* 101 to get my answer

Answer 20

because its going
1*2
2*3
...
so would i go 100*101 ?