HELP WITH PROOFS!!! Suppose A, B, C are sets. Prove or disprove: A ∩ B = A ∩ C implies B=C.?
Suppose A, B, C are sets. Prove or disprove: A ∩ B = A ∩ C implies B=C.
Please go step by step because i dont understand where to go or even how to do this problem and state what kind of proof you are using (ie. direct, counterexample, contrapositive, basic induction, etc.)
More Questions From This User See All
Answers & Comments
Verified answer
Direct (disprove)
Let A be [1,2], let B be [2,3] and let C be [2,4]. Then, A ∩ B = [2] and A ∩ C = [2]. Thus A ∩ B = A ∩ C but B =! C.
Really, I have an understanding of what you might be saying and i do consider badly after I have got to depart a conversation before the other person is competent. However I think they fully grasp, I mean I do when anyone desires to move at the same time i'm on a roll. Don't think guilty, the SAT's are one of the most pleasant excuses i can suppose of. Very major!