SOLUTION: If x>0,y>0,z>0 and x+y+z=1,prove that {{{x/2-x + y/2-y + z/2-z>=3/5}}}

Question 51695: If x>0,y>0,z>0 and x+y+z=1,prove that
Answer by darq(90) (Show Source): You can put this solution on YOUR website!

after multiplying both sides with -2. we will need to change sides because it is negative.

a positive number is always bigger than a negative so 1 is bigger than . So it is proven that equation is in fact WRONG. But if you had written > instead of < of course the equation will be correct or if you had forgotten to put (-) before it would have been correct.
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