) State whether each of the following statements is true or false. If it is
true, write out a proof that conﬁrms this. If it is false, give a counterexample and
show that the sets you have chosen do not satisfy the equality

A ∩ (B × C) = (A ∩ B) × (A ∩ C) for all sets A, B and C.

Question

) State whether each of the following statements is true or false. If it is
true, write out a proof that conﬁrms this. If it is false, give a counterexample and
show that the sets you have chosen do not satisfy the equality

A ∩ (B × C) = (A ∩ B) × (A ∩ C) for all sets A, B and C.

anonymous · Answer

I dont understand how a cartesian product ties in with all the identities. Anyone who knows something about set theory please help