Prove that the relation R in the set A=(1,2,3,4,5) given by $R=\{(a, b):|a-b|$ is even $\}$, is an equivalence relation.
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Prove that the relation R in the set A=(1,2,3,4,5) given by $R=\{(a, b):|a-b|$ is even $\}$, is an equivalence relation.

Prove that the relation R in the set A=(1,2,3,4,5) given by $R=\{(a, b):|a-b|$ is even $\}$, is an equivalence relation.
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Prove that the relation $R$ in the set $A=\{1,2,3,4,5\}$ given by $R=\{(a, b):|a-b|$ is even $\}$, is an equivalence relation.
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Here $a{ }^* b=(2 a-b)^2$

$3^* 5=(6-5)^2=(1)^2=1 \\$

$5 * 3=(10-3)^2=(7)^2=49 \\$

$\therefore 3 * 5 \neq 5 * 3$
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