设全集I=R,已知集合M=﹛x|﹙x+3﹚²≤0﹜,N=﹛x|x²+x-6=0﹜

问题描述:

设全集I=R,已知集合M=﹛x|﹙x+3﹚²≤0﹜,N=﹛x|x²+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
要详细步骤!

(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 -...