Question

Give a proof of the following statement.

If the product of 5 nonnegative real numbers is greater than 100, then at least one of the numbers is greater than 2.

Answer 1

what's the contrapositve

Answer 2

I am not sure... I think it is because the statement is false?

Answer 3

\[\neg q \to \neg p\]

if all 5 non-negative real numbers are no greater than 2, then their product is no greater than 100

Answer 4

Ah that was simple.. Lol thanks!

Answer 5

I may post another question in a bit. So watch for me :)