ALGEBRA II H/G - SETS : UNION and INTERSECTION

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ALGEBRA II H/G - SETS : UNION and INTERSECTION ALGEBRA II HONORS/GIFTED @ SETS : UNION and INTERSECTION

SET : a collection of objects. A = {1, 2, 3, 4, 5}. U SET : a collection of objects. A = {1, 2, 3, 4, 5}. B = {4, 5, 6, 7, 8} A 9 2 3 4 5 ELEMENT or OBJECT : a member of a set. 6 7 8 10 B VENN DIAGRAM : a picture of a set or a group of sets. Created by a guy named Venn…. but I don’t know venn he did it.

UNIVERSAL SET : the set of all elements under consideration. 9 2 3 4 5 6 7 8 10 B UNION : a listing, in set notation, of every element of two or more sets. INTERSECTION : a listing, in set notation, of the elements two or more sets share.

EMPTY SET : a set that contains no elements, denoted by the symbol Ø. Examples : FINITE SET : a set that contains a definite number of elements. (You can count them!) Examples : INFINITE SET : a set that contains an indefinite number of members. (You can’t count them.) Examples :

OVERLAPPING SETS : two or more sets that share at least one element. Examples : A U B Sets A and B overlap. Other examples?

SUBSET : if all of the elements in set A are also in set B. Examples : B U A since set A is inside of set B. Other examples?

RULE METHOD : a way to write the elements of a set by definition. ROSTER METHOD : a way to write the elements of a set by listing all of the elements. Examples : RULE METHOD : a way to write the elements of a set by definition. Examples : DISJOINT : two sets are disjoint if they have no elements in common. Examples : U A B

Draw Venn Diagrams for each of the following sets. U = {letters of the English alphabet} A = {different letters in the word ‘baseball’} B = {different letters in the word ‘basket’} 2) U = {states of the United States} N = {states beginning with the letter ‘N’} H = {states containing the letter ‘h’}

Find the union ( ) and intersection ( ) of each pair of sets. 3) U = {whole numbers from 1-20 inclusive} P = {prime numbers less than 20} D = {odd whole numbers less than 20} 4) U = {letters of the English alphabet} F = {different letters in the word ‘foot’} B = {different letters in the word ‘base’} Note : sets F and B are disjoint!

5) U = {letters of the English alphabet} B = {different letters in the word ‘base’} F = {different letters in the word ‘bass’} How does set F compare with set B? Answer : Set F is a subset of set B.