Let p: A is a proper subset of B. q: A and B are equal. Write: "A is a proper subset of B if and only if A and B are not equal" symbolically.

Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contalns 95 elements and Set B contains 78 elements. If Sets A and B have 27 elements in common, how many elements are In neither A nor B? Answer = elements Avestion Heln: M Message instrurtor

Let A = {a, b, c},B = {b, c, d},and C = {b, c, e}.(a) Find A ∪ (B ∩ C),(A ∪ B) ∩ C,and (A ∪ B) ∩ (A ∪ C).(Enter your answer in set-roster notation.) A ∪ (B ∩ C) (A ∪ B) ∩ C (A ∪ B) ∩ (A ∪ C) Which of these sets are equal? A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C) A ∪ (B ∩ C) = (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) (A ∪ B) ∩ C = (A ∪ B) ∩ (A ∪ C) A ∪ (B ∩ C) = (A ∪ B) ∩ C(b) Find A ∩ (B ∪ C),(A ∩ B) ∪ C,and (A ∩ B) ∪ (A ∩ C).(Enter your answer in set-roster notation.) A ∩ (B ∪ C) (A ∩ B) ∪ C (A ∩ B) ∪ (A ∩ C) Which of these sets are equal? (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C) A ∩ (B ∪ C) = (A ∩ B) ∪ C A ∩ (B ∪ C) = (A ∩ B) ∪ C = (A ∩ B) ∪ (A ∩ C) c) Find (A − B) − Cand A − (B − C).(Enter your answer in set-roster notation.) (A − B) − C A − (B − C) Are these sets equal? Yes No

If X = {1, 2, 4, 8, 9, 10, 16} and Y = {3, 4, 7, 9, 15}, then X ∩ Y is ________. {1, 3, 6, 7} {4, 9} {3, 4, 7, 9} {3, 6, 7, 9} {3, 4, 9}