SOLUTION: let a and b be two real numbers with a does not equal b. write an expression that will give the larger of the two numbers

 if and only if  if and only if 

 if and only if  if and only if 

So we let 

So we want a function  such that
 and 

So we find the linear equation  that passes through
the points  and 












   
So we replace  by    



So the right side of this equation will always give
the larger of a and b:



Edwin