Are you dividing by -1 to go from your second to last line to your last line? If so, you're missing one thing: if you divide by -1, you have to divide both sides by -1:
a < -b -a > b
This allows multiple possibilities: a = 2, b = -4 --> yes, a > b a = -4, b = 2 --> no, a is not greater than b
Thanks Stacey. My mistake...I can't believe I forgot to divide both sides. I must have been on an off day when I first posted that message. Sorry about this!!