So, this is the question I need to answer, and I am having trouble understanding the notations used, especially this line:
[a]i denotes the equivalence class of a under Ri(i = 1,2)
Given an equivalence relation (in terms of ordered pairs), I know how to find the equivalence classes. But I am unable to understand how to obtain the equivalence relation here, and what I am supposed to do after that.
Here is the entire question:
A is a set, and R1,R2 ⊆ A x A are equivalence relations on A. For a ∈ A, [a]i denotes the equivalence class of 'a' under Ri(i = 1,2) and [a] denotes the equivalence class of 'a' under R1 ∩ R2. Define [a] in terms of [a]1 and [a]2