Recent content by leigh ramona

So reflexive is equal to each other. Like x R x. Symmetric is x R y = y R x Transitive is if x R y and y R z, then x R z. The relation is symmetric because if A \cap C = B \cap C, then C \cap A = C \cap B. Is this correct? The relation is also transitive, because if A \cap C and B \cap C...

Let U be a universal set, and let C be any subset of U. Let R be the relation on P(U) defined by A R B if $A \cap C = B \cap C$. Determine whether the relation is reflexive, symmetric, and/or transitive. Prove you answer.