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Transcript
Chapter 9 In the beginning Set: Collection of Objects Examples: Arnold’s “set” of cars Nirzwan’s “set” of borrowed credit cards Elements: those objects that are in a set Examples • The cars and the credit card #’s Roster Method: when you write a set by enclosing the elements in braces A={1,2,3} Note: Typically, a set is designated by a capital letter • Example B After the beginning Empty set (aka: null set)– Set with nothing in it Also uses { } sometimes • Ex: The number of Mansions I own • X={} Union: (U) Shows a set that has the elements of 2 other sets. What is A U B given A = {1,2,3,4} B = {3,4,5,6} A U B = {1,2,3,4,5,6} Note: only list the elements that A and B have in common once! More of the beginning Intersection What two or more sets have in common Find A B given A = {1,2,3,4} B={3,4,5,6} A B = {3,4} Set Builder Set Builder notation: another way to represent sets 2 parts to this 1. What you want to represent • Ex: all integers less than 8 x<8 2. What numbers you can use • Ex integers x all integers • Other words that can be used instead of integers Positive or negative integers, real numbers, positive or negative real numbers, imaginary numbers! Inequality Ever see these before? <, > , These are symbols of inequality! Examples are 4 > 2, 3x 87 and Nirzwan getting drug-searched outside of Burley! Graphing an inequality in 1-D Draw a number line appropriate for the problem For less than or greater than use a parenthesis bracket, for less than or equal to or greater than or equal to, use a square bracket Ex: x>1, Ex: x>5 U x < 0 x -3 U Try Its 1 through 11? Homework Section 9.1 – 1-41 every other odd