Let m ∈ z+ consider the relation Rm defined as a Rm b iff a ≡ b�

1.	Let m ∈ z+ consider the relation Rm defined as a Rm b iff a ≡ b (mod m), then Rm is(a) reflexive but not symmetric(b) symmetric but not transitive(c) reflexive, symmetric but not transitive(d) an equivalence relation
Answer» Correct answer is: (d) an equivalence relation The relation R_m defined as a ≡ b (mod m) is reflexive, symmetric and transitive \(\therefore\) R_m is an equivalent relation

Let m ∈ z+ consider the relation Rm defined as a Rm b iff a ≡ b (mod m), then Rm is(a) reflexive but not symmetric(b) symmetric but not transitive(c) reflexive, symmetric but not transitive(d) an equivalence relation

Answer»

Correct answer is: (d) an equivalence relation

The relation R_m defined as a ≡ b (mod m) is reflexive, symmetric and transitive

\(\therefore\) R_m is an equivalent relation

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Let m ∈ z+ consider the relation Rm defined as a Rm b iff a ≡ b (mod m), then Rm is(a) reflexive but not symmetric(b) symmetric but not transitive(c) reflexive, symmetric but not transitive(d) an equivalence relation

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