Explain partition arising from every equivalence relation


Find whether given relation is the equivalence relation on set. Explain partition arising from every equivalence relation.

i) a <= b if and only if ab not= 0

ii) a ~ b if and only if ab not = 0

iii) a is approximatly = b if and only if |a - b| <=1

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Mathematics: Explain partition arising from every equivalence relation
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