共50条信息
已知集合\(A=\{x|3^{x} > 1\}\),集合\(B=\{x|-1 < x < 2\}\).
\((\)Ⅰ\()\)求\(({C}_{R}A)∩B \);
\((\)Ⅱ\()\)若集合\(C=\{x|2a+a > 0\}\),满足\(B∪C=C\),求实数\(a\)的取值范围.
设集合\(A=\{1,2,6\},B=\{2,4\},C=\{x\in R|-1\leqslant x\leqslant 5\}\),则\((A\bigcup B)\bigcap C=\)
已知集合\(A=\left\{x| \dfrac{6}{x+1}\geqslant 1,x∈R\right\},B=\left\{x|{x}^{2}-2x-m < 0\right\} \)
\((\)Ⅰ\()\)求集合\(A\);
\((\)Ⅱ\()\)当\(m=3\)时,求\(A∩ {{C}_{R}}B\).
设全集\(U=\left\{ 1,2,3,4,5 \right\}\),\(A=\left\{ 1,2 \right\}\) \(B=\left\{ 2,3,4 \right\}\)则\(\left( {{C}_{U}}A \right)\cup B=\)( )
已知集合\(A=\{x|y= \sqrt{x-4}\}\),\(B=\{x|-1\leqslant 2x-1\leqslant 0\}\),则\(({{C}_{R}}A)∩B=(\) \()\).
已知集合\(A=\left\{ x\left| 3 < x < 10 \right. \right\},B=\left\{ x\left| {{x}^{2}}-9x+14 < 0 \right. \right\},C=\left\{ 5-m < x < 2m \right\}\),
\((1)\)求\(A\cap B,({{C}_{R}}A)\cup B\)
\((2)\)若\(x∈C\)是\(x∈(A∩B)\)的充分不必要条件,求实数\(m\)的取值范围
已知全集\(U{=}\{ 1{,}2{,}3{,}4{,}5{,}6\}\),集合\(P{=}\{ 1{,}3{,}5\}{,}Q{=}\{ 1{,}2{,}4\}\),则\(({{∁}}_{U}P){∪}Q{=}({ })\)
已知集合\(P=\{x|x-1\leqslant 0\},Q=\{x|0\leqslant x\leqslant 2\}\),则\(({{C}_{R}}P)\bigcap Q=(\) \()\)
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