Q.1 Explain why the following statements are false 1- The relation 1 2 3 4 a 1 0.1 0.2 b 0.1 0.3 0.1 0.2 0.3 1 0.2 d. 0.1 0.2 1 Is an equivalence relation.

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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Q.1 Explain why the following statements are false
1- The relation
1
2
4
a
1
0.1
0.2
b
0.1
0.3
0.1
0.2
0.3
1
0.2
d.
0.1
0.2
1
Is an equivalence relation.
2- Let A = {(a, 0. 2), (b, 0), (c, 0. 1)}
B = {(a, 0. 4), (b, 0. 3), (c, 0. 2)
{((a, a), 0. 1), ((b, c), 0), ((a, c), 0. 3)}
Transcribed Image Text:Q.1 Explain why the following statements are false 1- The relation 1 2 4 a 1 0.1 0.2 b 0.1 0.3 0.1 0.2 0.3 1 0.2 d. 0.1 0.2 1 Is an equivalence relation. 2- Let A = {(a, 0. 2), (b, 0), (c, 0. 1)} B = {(a, 0. 4), (b, 0. 3), (c, 0. 2) {((a, a), 0. 1), ((b, c), 0), ((a, c), 0. 3)}
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