Proof involving sets. NEED HELP!!! 1. The problem statement, all variables and given/known data Prove directly "If A U B = A, then B is a subset of A." and also provide a proof by contrapositive of its converse. 2. The attempt at a solution Here is what i did, but I don't know if it is right or not, Direct Proof: Assume A U B = A, then x ∈ (A U B) and x ∈ A. So it follows that B ∈ A = B is a subset of A. Contrapositive of Converse Proof: Assume that A U B ≠ A, then x ∈ (A U B) and x ∉ A. Then, B ∉ A and so B is not a subset of A. I don't think this is right. Could someone help me out please??