Let $R$ be a an Equivalence relation on $\Bbb{R}$ defined by: $$aRb \Leftrightarrow (a-b)\in \Bbb{Z}$$ What is the cardinality of $|\Bbb{R}/R|$? where $\Bbb{R}/R$ is the quotient set of $\Bbb{R}$ under $R$.
Compute the Cardinality of a quotient set
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elementary-set-theory