Recent content by JoeRocket

Homework Statement Let R be a reflexive and transitive relation on a set A. Define another relation, S, such that, for any x, y ∈ A, Sxy iff (Rxy and Ryx). Prove: S is an equivalence relation on A. Homework Equations S is an equivalence relation if it is symmetric, reflexive and...

You two are my heroes. I started looking into the more because I believed the same thing. I copied the question from my online class system into this forum, but then I found that he had entered the questions online wrong. Else where in our class literature, the question is written as ((A ∪ B) ∩...

Hi Everyone! I would really appreciate some help with this set proof. Homework Statement Show that, for any sets A, B, ((A ∪ B) ∩ A) = (A ∩ A') ∪ (A ∩ B). (Hint: Remember that a complement of a complement is just the original set.) Homework Equations I can use any sentential...