This preview shows page 1. Sign up to view the full content.
Unformatted text preview: + . As (rearranging) z < , there exists a A such that z < a (recall that = lub A ). As (rearranging) za < , there exists b B such that za < b (recall that = lub B ). The resulting inequality z < a + b shows that z is not an upper bound of S . (iii) Though nonempty, P need not be bounded above: indeed, A and B may contain arbitrarily large negative numbers. 1...
View
Full
Document
This note was uploaded on 11/12/2011 for the course MAS 3300 taught by Professor Staff during the Fall '08 term at University of Florida.
 Fall '08
 Staff

Click to edit the document details