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Let E1 and E2 be equivalence relations on a non-empty set X. Define a new relationRonXbyxRyifthereexistsaz∈XsuchthatxE1 zandzE2 y. TherelationR is often denoted as E1 ◦ E2 and is called the composition of the relations E1 and E2. Prove or disprove: R is an equivalence relation on X, which in...

Homework Statement 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.Homework Equations The Attempt at a Solution I know that we must...