设全集I=R,已知集合M={x|(x+3)^2≤0},N={x|x^2+x-6=0}(1)求(CIM)∩N
问题描述:
设全集I=R,已知集合M={x|(x+3)^2≤0},N={x|x^2+x-6=0}(1)求(CIM)∩N
(2)记集合A=(CIM)∩N,已知集合B={x|a-1≤x≤5-a,a∈R},若B∪A=A,求实数a的取值范围
答
(1)M = {x丨(x + 3)² ≤ 0}= {- 3}N = {x 丨x ² + x - 6 = 0}= {- 3,2}∴ CI M = {x 丨x ≠ - 3}Ci M ∩ N = {2}(2)A = Ci M ∩ N = {2}∵ B ∪ A = A∴① 当 B 为空集时,则:a - 1 >...