Prove that if and then (Theorem 4.3.1).

Notes ma 128 2.1 sets and operation on sets Set- unerverse of objects only two choice collection. 2 apples , 2 pens ect. 2 or more sets = subset 1. Word description – between two and ten 2. Braces ( 2,4,6,8,10) 3. Builder notation Subset- a set within the set Empty sets- has no element Intersection of sets- common to both A and B Disjoint set- nothing in common Union – have all in the same numbers in common 2.2 sets counting Nominal numbers – sequence of digits group one and group two Ordinal numbers- location- first, second, third Cardinal numbers- “how many” ex how many tickets do you need. Quantity One to one- correspondents/ matching 2 and 2 , 3 and 3 etc. Whole numbers- cardinal numbers an 0 Natural numbers- 1,2,3,4,5,6… No 0 Chapter 4 Fractions and mixed