Question

What are the Equivalence Classes of {1,2,3,4} with the relation being x U {2,3}?

Answer 1

I think I've got 4 classes. Are the elements {2},{3},{2,3} in one class. And is the empty set {} part of that class?

Thanks.

Answer 2

so relation is x U {2,3} and the equivalence classes should be disjoint.

Answer 3

\[{}\cup \{2,3\}=\{2,3\}\] so yes it is there

Answer 4

i guess there are 3 others.
{1},{1,2},{1,3},{1,2,3} is one then
{4},{2,4},{3,4}, {2,3,4}
{1,4} {1,2,4}, {1,3,4},{1,2,3,4}