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Let Z be the set of all integers and ...

Let `Z` be the set of all integers and `Z_0` be the set of all non=zero integers. Let a relation `R` on `ZxZ_0` be defined as follows: `(a , b)R(c , d) a d=b c` for all `(a , b),(c , d)ZxZ_0` Prove that `R` is an equivalence relation on `ZxZ_0dot`

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