Originally Posted by

**Aquameatwad** Someone PLEASE help me!

I'm trying to write a contradiction to the statement:

**If three positive real numbers x,y,z are chose between 0 and 1 with 0<x<y<z<1, then the distance from x to y is less than .5 or the distance from y to z is less than .5.**

I belive it is:

**If three positive real numbers x,y,z are chose between 0 and 1 with0<x<y<z<1, then the distance from x to y is not less than .5 and thedistance from y to z is not less than .5.**

But my teacher tells me this is wrong.