Real Numbers- Extended College Algebra

its about real numbers

1. Real Numbers Sugiri Aryanto, M.Si .

2. SETS A set is a well defined collection of distinct objects. Notation : The objects of a set are called its elements Empty set is denoted by or Example : the set of prime numbers less than 20 can be written as : Or  

3. Operation on Sets Intersection If and are sets, then the intersection of and , denoted by is the set containing all of objects that belong to and . Union Complement If is set, then the complement of , denoted by is the set of all objects that don’t belong in  

4. Example 2 Let be the set of all prime numbers less than 100, is the set of all odd positive numbers less than . determine : Ans : Ans :  

5. Example 1 Let and the universal Determine :  

6. Classify Numbers Set of Natural Numbers Set of Integer Numbers Set of Rational Numbers Set of Irrational Numbers Set of real Number  

7. Classify Numbers

8. Example 1 List the number in each set that are (a) natural numbers (b) integers (c) rational numbers (d) irrational numbers