SOLUTION: Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c

SOLUTION: Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)

Question 1135967: Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
Let a,b,c be real numbers satisfy ab + bc + ca = 1. Show that (a - b)/(1 + c^2) + (b - c)/(1 + a^2) ≥ (c - a)/(1 + b^2)

Let's see if it's true when a=-2, b=3, and c=7

. 

 

That checks.  Now let's see if this checks:















FALSE.  So the proposition is FALSE.  Sorry.

Edwin

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