已知全集为R,集合A=(-1,3],集合B=(0.,4),求(1)A∪B,A∩B;(2) A的补集,B的补集
问题描述:
已知全集为R,集合A=(-1,3],集合B=(0.,4),求(1)A∪B,A∩B;(2) A的补集,B的补集
答
1.
A∪B = (-1,3] ∪ (0,4)
= (-1,4)
A∩B = (-1,3] ∩ (0,4)
= (0,3]
2.
A的补集 = R - A
= R - (-1,3]
= (-∞,-1] ∪ (3,+∞)
B的补集 = R - B
= R - (0,4)
= (-∞,0] ∪ [4,+∞)