SOLUTION: If ab+bc+ca=3, where a,b,c are positive and real numbers, is a+b+c >= 3?

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Question 1103858: If ab+bc+ca=3, where a,b,c are positive and real numbers, is a+b+c >= 3?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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If a= 1, b= 1 and c= 1, then ab + bc + ca = 3 and a + b + c = 3, 


for example.