Question

Try to find an interesting example of your most challenging equation/inequality type being used in the real world. Why is the example interesting? What is the specific equation used in that situation? Include links to the sources.

Answer 1

Suppose ab=25 where a>=0 , b>=0 , Then what is the minimum value of (a+b)?

This is the real world problem .

suppose you have some money (a) and I have some money (b) and product of our money is 25. then what is the minimum sum of our money ?

To know we should know about AM (arithmetic mean),GM (geometric mean) . And we have inequality AM>=GM. That means ,

(a+b)/2=sqrt(ab);

or , (a+b)>=2*sqrt(25)

or, (a+b)>=10;

Hence minimum value of (ab) is 10 . This is real world problem where inequality is used .