- #1
ssd
- 268
- 6
Homework Statement
For a,b,c,d >1, Show that (a+1)(b+1)(c+1)(d+1) < 8(abcd+1)
Homework Equations
How to show this?
The Attempt at a Solution
I could show for two variables, (a+1)(b+1)<2(ab+1). Tried C-S, AM-GM inequalities in different form and variable transformations. But still no result. It's my daughters test question. Any help is appreciated.
Last edited: