ok heres the prob....the statement below is not always true for x, y (symbol for real numbers). give an example where it is false, and add a hypothesis on y that makes it true. "if x and y are nonzero real numbers and x>y then (-1/x)>(-1/y)"
ok heres the prob....the statement below is not always true for x, y (symbol for real numbers). give an example where it is false, and add a hypothesis on y that makes it true. "if x and y are nonzero real numbers and x>y then (-1/x)>(-1/y)"
Consider the four cases {{ note: for some reason, > is showing as an upside down ? }}:
From this, you can see that both and must have the same sign.
EDIT: apologies.. particlejohn is correct and my post has been edited accordingly =]