Indicate the partition of the set A={ x integer: 2 ≤ x ≤ 12 } resulting from the equivalence relation R on A defined by R= {(x, y) = A×A: xmod 4 = y mod 4}. ○ {2, 6, 10}; {3, 7, 11}; {4, 8, 12}; {5,9} ○ {1,5, 9}; {2, 6, 10}; {3, 7, 11}; {4, 8, 12} O {1,2,3}; {4, 5, 6}; {7, 8, 9}; {10, 11, 12} O {1,3,5}; {2, 4, 6}; {7, 9, 11}; {8, 10, 12} O None of these.
Indicate the partition of the set A={ x integer: 2 ≤ x ≤ 12 } resulting from the equivalence relation R on A defined by R= {(x, y) = A×A: xmod 4 = y mod 4}. ○ {2, 6, 10}; {3, 7, 11}; {4, 8, 12}; {5,9} ○ {1,5, 9}; {2, 6, 10}; {3, 7, 11}; {4, 8, 12} O {1,2,3}; {4, 5, 6}; {7, 8, 9}; {10, 11, 12} O {1,3,5}; {2, 4, 6}; {7, 9, 11}; {8, 10, 12} O None of these.
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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Transcribed Image Text:Indicate the partition of the set A = {x integer: 2 ≤ x ≤ 12} resulting from the equivalence relation R on A defined by R = {(x, y) = AXA: x mod 4=y mod
4}.
O {2, 6, 10}; {3, 7, 11}; {4, 8, 12}; {5, 9}
O {1,5,9}; {2, 6, 10}; {3, 7, 11}; {4, 8, 12}
O {1,2,3}; {4, 5, 6}; {7, 8, 9}; {10, 11, 12}
O {1,3,5}; {2, 4, 6}; {7, 9, 11}; {8, 10, 12}
O None of these.
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