设全集I=R,已知集合M={x|x2-10x+24<0},N={x|x2-2x-
问题:
设全集I=R,已知集合M={x|x2-10x+24<0},N={x|x2-2x-15≤0}.
(1)求(∁IM)∩N;
(2)记集合A=(∁IM)∩N,已知集合B={x|a-1≤x≤5-a,a∈R},若A∪B=A,求实数a的取值范围.
设全集I=R,已知集合M={x|x2-10x+24<0},N={x|x2-2x-15≤0}.
(1)求(∁IM)∩N;
(2)记集合A=(∁IM)∩N,已知集合B={x|a-1≤x≤5-a,a∈R},若A∪B=A,求实数a的取值范围.