# help on proof

• June 6th 2006, 01:49 PM
Judi
help on proof
if Bk>0, then prove the following:
B1+B2+.....+Bn-B1B2....Bn<=n-1
(sum-product is less than equal to n-1)

When my instructor was talking about Bernoulli's inequalities, he gave us this problem to prove.
• June 6th 2006, 02:01 PM
ThePerfectHacker
Quote:

Originally Posted by Judi
if Bk>0, then prove the following:
B1+B2+.....+Bn-B1B2....Bn<=n-1
(sum-product is less than equal to n-1)

When my instructor was talking about Bernoulli's inequalities, he gave us this problem to prove.

There seems to be a problem here.
If, $n=2$
Then,
$B_1+B_2-B_1B_2\leq 2-1$
Only when,
$0
or,
$1\geq B_1 \mbox{ and }1\geq B_2$