Question

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

Answer 1

Any number and zero would make this false.

Answer 2

so would any two numbers less than one

Answer 3

okay I think I understand

Answer 4

Can't work because 0 is not positive

Answer 5

Yep.. There's an infinite amount of options.

Answer 6

so like 2+4 >0 ??

Answer 7

Ah, very good point haha.

Answer 8

Product=Multiplication

Answer 9

@KellySund product means multiply

Answer 10

oh okay!

Answer 11

Are \(8>2\) and \(8>4\) both true?

Answer 12

yes

Answer 13

Then your example was true :)

Answer 14

Okay~!

Answer 15

\(\large \frac 12 * \frac 14 = \frac 18\\ \large
\frac 18 < \frac 12 \\ \large
\frac 18 < \frac 14 \)