Read the two statements and choose the correct option.

I. The equivalence classes of an equivalence relation on a set never overlap.

II. Every element of the set lies in exactly one equivalence class.

Explanation

1. 01

   If two classes shared an element, transitivity and symmetry would make them equal; so distinct classes are disjoint.

2. 02

   Each $a$ is in its own class (reflexive), and in no other. Both are true.