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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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