Question

What is the general rule for multiplying two inequalities together, please?

Answer 1

Example:
\[a > \sqrt{n}\]
\[b > \sqrt{n}\]

Answer 2

We are supposed to get
\[ab > n\]
from these two. I am trying to find the name of the General Rule of this property and how to apply it properly for mathematical proofs.

Answer 3

i hardly think it has a name

Answer 4

If there a way to prove it or show how it is constructed? Like what is the logic behind it?

Answer 5

take a =4,b=5,n=9

Answer 6

put in all three equalities

Answer 7

the third will stand true

Answer 8

I see! Thanks

Answer 9

yw