SOLUTION: Hello, my question is:
If x>y>z then prove xy + yz > (x+y)(y+z) / 2
Thanks in advance for your help!
Algebra.Com
Question 1140916: Hello, my question is:
If x>y>z then prove xy + yz > (x+y)(y+z) / 2
Thanks in advance for your help!
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If , then and ,
and then
How did I come up with that?
Starting from the end and working backwards to the beginning
from one equivalent equation to another:
If and only if , then
.
The two equations are equivalent;
it is the same statement said "with other words",
so we just have to prove that
or "in other words" that
or "in other words" that
or "in other words" that
or "in other words" that
or "in other words" that
or "in other words" that
or "in other words" that
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