If N7 = {1,2,3,4,5,6,7}, does the following partitions give rise to an equivalence relation Why A1={1,2,5,7}, A2={3}, A3={4,6} - Maths - Relations and Functions

Question

If N7 = {1,2,3,4,5,6,7}, does the following partitions
give rise to an equivalence relation? Why?
A1={1,2,5,7}, A2={3}, A3={4,6}

Aarushi Mishra · Accepted Answer

Dear student
Your questions seems incompete A relation R on set A is a subset of
A X A However I am assuming that you are talking about universal
relations on set A1, A2, and A3; i e whole set of A1 X A1, A2 X A2
and A3 X A3

regards

If N7 = {1,2,3,4,5,6,7}, does the following partitions give rise to an equivalence relation? Why? A1={1,2,5,7}, A2={3}, A3={4,6}.

If N₇ = {1,2,3,4,5,6,7}, does the following partitions give rise to an equivalence relation? Why?
A₁={1,2,5,7}, A₂={3}, A₃={4,6}.