Let A={1,2,3,4,5,6,7,8,9}. We define (a,b)R(c,d) iff 2|(a-c) ∧ 3|(b-d). R is an equivalence relation on the set AXA. find the quotient set.
I got 2 equivalence classes - [(1,3)], [2,4] how do I know I got every equivalence class if the set is too big to check manually? and are there anymore?