Math1313-Section6.1-Blank

# Math1313-Section6.1-Blank - Section 6.1 Sets and Set...

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Section 6.1 – Sets and Set Operations 1 Section 6.1 Sets and Set Operations A collection of objects is called a set. An object of a set is called an element. Notation: = “element of” = “not an element of” The set C = { x | 9 2 = x } is in set builder notation . The set C can also be written as follows: C = {-3, 3}. Let A and B be two sets. If every element of A is also in B , A is said to be a subset of B . Notation: = “subset of” / = “not a subset of” Example 1: Let C = {1,2,3,4,5,6}, D = {2,4,6}, E = {2,1,6,4,3,5}, and G = {1, 4, 6}. Which of the following is/are true? I. D C II. E / C III. D G The set A is a proper subset of a set B (Notation: B A ) if the following two conditions hold. 1. B A 2. There exists at least one element in B that is not in A . Example 2: Let G = {5,6,7,8,9,10}, H = {5,8,10}, I = {8, 5}, and J = {5,8}. Which of the following is/are true? I. H G II. H J III. J H IV. I J

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Section 6.1 – Sets and Set Operations 2 A set that contains no elements is called the empty set.
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## This note was uploaded on 08/30/2010 for the course MATH Math 1313 taught by Professor Abdelnourahmed-zaid during the Fall '10 term at University of Houston.

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Math1313-Section6.1-Blank - Section 6.1 Sets and Set...

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