reflexive symmetric and transitive

Requirements: does not need to be too long 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. 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.

Prof. Angela

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