SOLUTION: If 0< x <1 , 0< y <1 prove that 0< x+y-xy <1

Algebra ->  Graphs -> SOLUTION: If 0< x <1 , 0< y <1 prove that 0< x+y-xy <1      Log On


   

Question 1118505: If 0< x <1 , 0< y <1
prove that 0< x+y-xy <1
Answer by t0hierry(194) About Me  (Show Source):
You can put this solution on YOUR website!
x + y - xy = x(1-y)+ y
Since
x(y-1)<0
x<1
y<1
x(1-y) + y <1