If i have a set S = {x| |x-2| + |3-x| = 1 }
and i have to check what the sup and inf are for it, is this correct way of working it out:
-1 < x-2 + 3-x < 1 or -2 < 0 < 0
Since x cancels out can i say that S has no supremum not infinum?
Thank you
If i have a set S = {x| |x-2| + |3-x| = 1 }
and i have to check what the sup and inf are for it, is this correct way of working it out:
-1 < x-2 + 3-x < 1 or -2 < 0 < 0
Since x cancels out can i say that S has no supremum not infinum?
Thank you