MA121 Lecture Notes - Lecture 1: Unordered Pair, Subset, Universal Set
Document Summary
Sept 8, 2016: set is defined by: Chapter 1: sets: give a precise verbal definition of the set stating exactly what its elements are, make a complete list of all elements in the set. Ex: make a list of few members of the set in a way that the pattern is clearly indicated. { , -7, -5,-3,-1,1,3,5,7, : enclose in curly brackets a statement giving the nature of the elements of the set/ conditions are satisfied by all the members. A = {1,2,5} b = {-1,2,10} a b = {-1,1,2,5,10: a b - a intersection b (defined by a b = {x : x a and x b, a b - a minus b (defined by a b = {x : x a and x b} If a is b/ equal to b then it is not a proper subset. Universal set (is the largest possible set) If an element is in both sets, the element only shows up once.