If a, b, c are distinct positive real numbers, then:

1
a2 + b2 + c2 > (ab + bc + ca)
2
a2 + b2 + c2 ≥  (ab + bc + ca) 
3
a2 + b2 + c2 ≤  (ab + bc + ca) 
4
a2 + b2 + c2 < (ab + bc + ca) 

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