Define a relation r on z by a rb if 2a 5b is a multiple of


Define a relation R on Z by a Rb if 2a + 5b is a multiple of Z.

(a) Prove that R defines an equivalence relation.

(b) Is R a partial order? Explain your answer briefly

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Mathematics: Define a relation r on z by a rb if 2a 5b is a multiple of
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