perplexus.info :: Just Math : Inequality with a constraint

Inequality with a constraint (Posted on 2017-03-04)

Assume x,y,z positive real numbers that satisfy x≤1, y≤2, x+y+z=6. Prove that (x+1)(y+1)(z+1)≥4xyz.

Source: Published by Marius Stanean, Romania, without a solution, in the Mathematical Reflections, Number 1, 2013 (Problem J258).

No Solution Yet Submitted by Ady TZIDON

No Rating

Comments: ( You must be logged in to post comments.)

Subject

Author

Date

There are no comments yet.

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info