14111cn6.1-5

# 14111cn6.1-5 - c Kendra Kilmer Section 6.1 Sets and Set...

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Unformatted text preview: c Kendra Kilmer September 16, 2011 Section 6.1 - Sets and Set Operations Definition: A set is a well-defined collection of objects usually denoted by uppercase letters. Definition: The elements , or members, of a set are denoted by lowercase letters. Set Notations: 1. Roster Notation: Lists each element between braces Example 1: 2. Set-builder Notation: A rule is given that describes the property an object x must satisfy to qualify for mem- bership in the set. Example 2: Notation: If a is an element of a set A , we write a ∈ A . If a doesn’t belong to A we write a / ∈ A . Example 3: Let A = { 1 , 2 , 3 } . Definition: Two sets A and B are equal , written A = B , if and only if they have exactly the same elements. (Note: The elements do NOT have to be in the same order.) Example 4: Let A = { 1 , 2 , 3 } , B = { 2 , 1 , 3 } , C = { 1 , 2 , 3 , 4 } Definition: If every element of a set A is also an element of a set B , then we say that A is a subset of B and write A ⊆ B ....
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## This note was uploaded on 03/27/2012 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.

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14111cn6.1-5 - c Kendra Kilmer Section 6.1 Sets and Set...

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