Mathematics Homework Help
WSSU Set of Integers Equivalence Relation Questionnaire
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I’m working on a geometry multi-part question and need an explanation to help me learn.
- Let S be the set of fractions: S = { p/q : p , q ∈ ℤ , q≠0}( Where ℤ is the set of integers) Define a relation ~ on S by: a/b ~ c/d iff ad=bc . Is this relation an equivalence relation?
- Is the relation reflexive? Why or why not?
- Is the relation symmetric? Why or why not?
- Is the relation transitive? Why or why not?
- Is the relation an equivalence relation? Justify your answer.
