Question

Proof please.

Let a>0 and b>0
if x>a and y>b then 1/xy < 1/ab

Answer 1

xy>ab

Answer 2

I was gonna say, what is there to prove?
seems kinda trivial...

Answer 3

divide by xy...divide by ab

Answer 4

it is

Answer 5

prove that 1/xy < 1/ab

Answer 6

Proof please.

Let a>0 and b>0
if x>a and y>b prove that 1/xy < 1/a

Answer 7

a gave you all you need to do the proof...it is a 2 - 3 line proof (unless you want to be wordy)

Answer 8

can we say that
\[x/b>1\] and for these to be true
since \[b>0\] ,then also \[x>0\]
so we can multiply easily since every thing is +
\[(x/a)(y/b)>1\]
\[xy/ab>1\]
\[xy>ab\]
\[1/ab>1/xy\]
...
\[1/xy<1/ab\]

Answer 9

just do what Zarkon said:

xy>ab

divide by xy and what do you get?

Answer 10

didnt see that,thanks