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Complement Of A Set And Its Properties

Class 10 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf U = R, A = (-infinity, 1), and B = (4, infinity), what is (A union B)'?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(A-B=A\cap B'\), then what is \((A-B)'\) equal to?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{x\in\mathbb{Z}\mid -3\le x\le 7\}\) and \(A=\{x\in U\mid x+2>4\}\), what is \(A'\), the complement of \(A\) in \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,40\}\), \(A=\{x:x\in U\text{ and }2\mid x\}\), and \(B=\{x:x\in U\text{ and }5\mid x\}\), what is \(n(A'\cap B')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{1,2,\ldots,24\}\), \(A=\{x:x\in U\text{ and }x\text{ is even}\}\), and \(B=\{x:x\in U\text{ and }x\text{ is odd}\}\), what is the relation between \(A'\) and \(B\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(A\cap B=\varnothing\), which statement about \(B\) must be true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(n(U)=120\) and \(n(A')=47\), what is \(n(A)\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(U=\mathbb{R}\) and \(A=[-2,4)\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsFor subsets \(A\) and \(B\) of a universal set \(U\), which of the following statements is always true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsWhich option gives the correct form of \((A\cup B)'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf the universal set is \(U=\{1,2,\ldots,10\}\) and \(A=\{1,3,5,7,9\}\), what is \((A')'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(U=\{x:x\in\mathbb{N},x\le25\}\) and \(A=\{x:x\in U\text{ and }x\text{ is a square number}\}\), how many elements are in \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(A\cup A'=U\) and \(A\cap A'=\varnothing\), what is the correct meaning of \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsIf \(U=\{1,2,\ldots,100\}\), \(A\) is the set of multiples of 4, and \(B\) is the set of multiples of 6, what is \(n((A\cap B)')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\mathbb{R}\) and \(A=\{x\in\mathbb{R}:x^2\ge 9\}\), what is \(A'\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Hard MathematicsIf \(A'=B'\), which conclusion is necessarily true?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\{1,2,\ldots,50\}\) and \(A=\{x\in U:5\mid x\}\), what is the value of \(n(A')\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy MathematicsWith respect to a universal set, which statement correctly represents De Morgan's law for three sets?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf the universal set is \(U=\{x:x\in\mathbb{Z},\ 0\le x\le 10\}\) and \(A=\{x:x\in U\text{ and }x^2-5x+6=0\}\), which of the following is the complement \(A'\) of \(A\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Medium MathematicsIf \(U=\mathbb{N}\) and \(A=\{x:x\in\mathbb{N}\text{ and }x\text{ is odd}\}\), what is \(A'\) with respect to \(U\)?Class 10SetsComplement of a Set and Its PropertiesLevel 19Easy