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Let R be a relation defined on Z by a R b if a + b = 0 or a b = 0. (a) Determine whether
Chapter 5, Problem 7(choose chapter or problem)
QUESTION:
Let R be a relation defined on Z by a R b if a + b = 0 or a b = 0. (a) Determine whether R is an equivalence relation. (b) If R is an equivalence relation, then describe the distinct equivalence classes.
Questions & Answers
QUESTION:
Let R be a relation defined on Z by a R b if a + b = 0 or a b = 0. (a) Determine whether R is an equivalence relation. (b) If R is an equivalence relation, then describe the distinct equivalence classes.
ANSWER:Step 1 of 3
A relation is defined as equivalence relation when
1. is symmetric.
2. is reflexive
3. is transitive.