化简下列集合表达式(1)(B-(A∩C))∪(A∩B∩C)(2)(A∩B)-(C-(A∪B))(3)((A∪B)∩B-(A∪B)(_数学解答

化简下列集合表达式
(1)(B-(A∩C))∪(A∩B∩C)
(2)(A∩B)-(C-(A∪B))
(3)((A∪B)∩B-(A∪B)
(4)((A∪(B∪C))-(B∪C))∪A

人气：142 ℃　时间：2020-01-25 04:43:02

解答

(1)原式 = (AC) + BAC = B[~(AC) + AC] = B(2)原式 = AB~(C~B) = AB(~C + A + B) = AB~C + AB + AB = AB(3)原式 = (A + B)B~(A + B) = (AB + B)~B = B = 0(4)原式 = (A + B + C)~(A + B + C) = 0其中,A表示“A的非”...