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
来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/10/05 22:06:59
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
(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
(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 > 5 - a
2 a > 6
a > 3
② 当 B 不为空集时,则:
a - 1 = 5 - a = 2
∴ a = 3
综上,a的取值范围是 a ≥ 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 > 5 - a
2 a > 6
a > 3
② 当 B 不为空集时,则:
a - 1 = 5 - a = 2
∴ a = 3
综上,a的取值范围是 a ≥ 3
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
1设全集I是实数集,则M=根号下(3+x)≤0,N=2^(x^2)=2^(x+12)求(CIM)∩N
设全集I={(x,y)|x,y∈R}集合M={(x,y)|y-3/x-2=1},则CIM
设全集为R,集合M={x|2x>x+3},N={x|-1
设全集I={(x,y)|x,y∈R} M={(x,y)|y-3/x-2=1} N={(x,y)|-y≠x+1} 则CiM
已知全集U=R,集合M={x|x≥1},N={x|x+1/(x-2)≥0},则Cu(M∩N)=
已知全集U=R,集合M={x|x≤3},N={x|x
设全集U=R,(1)M={x||2x+1|>1},N={x|3+x/(1-x)大于等于0},求M∪N
设全集U=R,集合M={x/x^2>9},N={-1
已知全集U=R,集合M={x|x≥1},N={x|x+1x−2
已知全集I=R,若函数f(x)=x²-3x+2,集合M={x|f(x)≤0},N={x|f′(x)<0},则M
设全集I=R,已知集合M=﹛x|﹙x+3﹚²≤0﹜,N=﹛x|x²+x-6=0﹜