## Elementary Geometry for College Students (5th Edition)

Published by Brooks Cole

# Chapter 1 - Section 1.1 - Sets, Statements, and Reasoning - Exercises - Page 8: 1a

#### Answer

A set is a well defined collection of objects. Types of sets are; empty sets [ set with no elements] finite sets [ set with limited number of elements. infinite sets [ set with unlimited number of elements] equal sets [ sets of same elements with same number also] equivalent sets [ sets that have same number of elements but different elements] universal sets [ set that contains all members in both sets] subsets [ set part of another big set of related elements] proper subsets [ subset of a set that is not equal to the set.] power sets [ set of all subsets of one set] Even sets [ set of members in both sets.]

#### Work Step by Step

empty sets [ {} set with no elements] finite sets [ D={ james, joy,jack} set with limited number of elements. infinite sets [ A={ 1,2,3,4,.....} set with unlimited number of elements] equal sets [ M={ h,o,p,e} N={ e,p,o,h} same elements] equivalent sets [ P={ a,e,i,o,u} R={ b,c,d,f,g} 5 vowels 5 consonants sets have same number of elements but different elements] universal sets [ D={1,2,3,4} C={ 3,5,6,7} U={ 1,2,3,4,5,6,7} set that contains all members in both sets] subsets [ A={ 1,3,5} , B={1,2,3,4,5} A is a subset of B] proper subsets [ H={ 1,3,5} , G= {1,5} G is a proper subset of H] power sets [ { a,b,c} = {},{a},{b},{c},{a,b},{a,c},{b,c},{a,b,c} ] Even sets [ A={ 1,2,3,4} B={ 2,3,4,5,6} AnB={ 2,3,4} set of members in both sets.]
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