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Consider the set Z of integers and the equivalence relation ~ definel. 2 by a. Ure set- builden notation to dereribe the following equialene, clarser : [0], [1], C-1],t-2]. Which of these equi valence clarrer are ecaual? b. How many ( Pind co]UC1] and [o Lonsi der the set L of ling in quivalene relation ~ defined by L aub if an anlu if a-b is even. distinct eauivalence clarrer cler the alave relation have? the Cartesian plane R and the by e~m if an only if either ļ =m or e llm Determine Pe eauivalence classer in the relation.

Consider the set Z of integers and the equivalence relation ~ definel. 2 by a. Ure set- builden notation to dereribe the following equialene, clarser : [0], [1], C-1],t-2]. Which of these equi valence clarrer are ecaual? b. How many ( Pind co]UC1] and [o Lonsi der the set L of ling in quivalene relation ~ defined by L aub if an anlu if a-b is even. distinct eauivalence clarrer cler the alave relation have? the Cartesian plane R and the by e~m if an only if either ļ =m or e llm Determine Pe eauivalence classer in the relation.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.1: Basic Assumptions
Problem 40WE
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Consider the set Z of integers and the equivalence relation ~ definad 2. 2. by anb if an onlu if q-b is even. to dercri be the following eguivalence . a. Use set- builder notation classer : [0], [1], C-1],[-2] Which of these equi valence clarrer are ecual? b.How many dlistinct eauivalence clarrer cles the abave relation have? ( Pind co]UC1] aned COJ n[1] LoコUCIl ondl CO]nコ Consider the set L of ling cquivalene relahon the Corterion olane R and the ~ defined by L by e~m if if either ļ =m or an anly r X Determine the eauivalence classer in the relation.
Transcribed Image Text:Consider the set Z of integers and the equivalence relation ~ definad 2. 2. by anb if an onlu if q-b is even. to dercri be the following eguivalence . a. Use set- builder notation classer : [0], [1], C-1],[-2] Which of these equi valence clarrer are ecual? b.How many dlistinct eauivalence clarrer cles the abave relation have? ( Pind co]UC1] aned COJ n[1] LoコUCIl ondl CO]nコ Consider the set L of ling cquivalene relahon the Corterion olane R and the ~ defined by L by e~m if if either ļ =m or an anly r X Determine the eauivalence classer in the relation.
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