[Solved] First Subquestion Possible Answers 1 2 3 4 5 6 7 Infinite R Equivalence Relation Second Su Q37260463

First Subquestion possible answers are: 1,2,3,4,5,6,7, infinite,or R is not an equivalence relation

Second Subquestion possible answers are:1,2,3,4,5,6,7, infinite,or R is not an equivalence relation

Suppose we have an equivalence relation R on a set S. Consider the set P containing all equivalence classes of R. Formally, P is defined as Then P is a partition of S. P is called the “partition induced by R”. Suppose that S-(1,2,5,6,7,9,11). Then we’ll define a relation F on S by aRb if and only if 5 | 3a 7b How many equivalence classes does R have? Now, suppose the relation R is defined as before, but over Z, the set of all integers. Then how many equivalence classes does R have? Show transcribed image text Suppose we have an equivalence relation R on a set S. Consider the set P containing all equivalence classes of R. Formally, P is defined as Then P is a partition of S. P is called the “partition induced by R”. Suppose that S-(1,2,5,6,7,9,11). Then we’ll define a relation F on S by aRb if and only if 5 | 3a 7b How many equivalence classes does R have? Now, suppose the relation R is defined as before, but over Z, the set of all integers. Then how many equivalence classes does R have?

Expert Answer

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Answer to First Subquestion possible answers are: 1,2,3,4,5,6,7, infinite, or R is not an equivalence relation Second Subquestion … . . .