Upgrade subject to access all content

Which of the following sets has the largest cardinality?

The set of equivalence relations on $\mathbb{R}$

The set of equivalence classes in $\mathbb{R}$ under $\sim$ such that $a\sim b$ iff $a-b\in\mathbb{Q}$

$\mathbb{R}\times\mathbb{Q}$

The set of irrational numbers.