1. The problem statement, all variables and given/known data The question is let E1 and E2 be equivalence relations on set X. A new relation R is defined as the E1 o E2, the composition of the two relations. We must prove or disprove that R is an equivalence relation. 2. Relevant equations 3. The attempt at a solution I know that we must prove 1) reflexive - this is easy just E1 = E1 2) symmetric 3)transitive but I am unsure of how to prove the last two. Thanks for any help in advance and if you need more information I will try to provide.