I'm trying to get solution for x and y in the following system using Mathematica 7.
(1) |x - A| >= |y - A| iff 0 <= A <= 1/2
(2) |x - A| < |y - A| iff 1/2 < A <= 1
where 0 <= x <= 1 and 0 <= y <= 1.
I'm solving for reals.
I’ve rewritten this problem and asked Mathematica. This is the code:
Which yields True, but I’d like to get a straight answer -- for which x and y is this true.
Note I used two parameters, A and B, because you cannot expect A<=1/2 and 1/2<A to hold true at the same time.
(I guessed one solution, which is 1 and 0 for x and y respectively.)
Any ideas? Thanks to anyone trying to help!