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Set Builder Notation

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

MathematicsIf A = {x ∈ ℤ : -2 ≤ x ≤ 2}, what is A?Class 10SetsSets and their representationsLevel 7EasyMathematicsFor the set A = {x ∈ R : x² = 4}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 7EasyMathematicsHow can the interval [3, 8) be written in set-builder form?Class 10SetsSets and their representationsLevel 9EasyMathematicsIf A={x:x∈R and 1<x<2}, how do we write A in interval notation?Class 10SetsSets and their representationsLevel 8EasyMathematicsWhat is the correct identification of A = {x ∈ N : 2x + 1 = 2x}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4MediumMathematicsWhich set is equal to {1, 4, 9, 16}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4MediumMathematicsIf A = {x ∈ ℤ : x is odd and x² = 16}, then what is A?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4EasyMathematicsIf A = {x ∈ N : x is a factor of 24} and B = {1, 2, 3, 4, 6, 8, 12, 24}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4EasyMathematicsIf C = {x : x ∈ ℤ, −3 ≤ x ≤ 3}, what is the value of n(C)?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5EasyMathematicsIf N = {1, 2, 3, …}, what type of set is {x : x ∈ N, x < 1}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5EasyMathematicsIf A = {3, 6, 9, 12} and B = {x : x ∈ ℕ, x is a multiple of 3 and x < 15}, which statement is correct?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 4EasyMathematicsWhat kind of set is A = {x : x ∈ ℕ, x ≤ 0}, assuming ℕ = {1, 2, 3, ...}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 10EasyMathematicsIf A = {x : x ∈ N, x < 6} and B = {5, 4, 3, 2, 1}, how are A and B related?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5EasyMathematicsIf A = {x : x ∈ ℕ, x is even and x < 10}, which set is A?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 6EasyMathematicsWhat is the correct form of A = {x : x ∈ N, x < 1}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5EasyMathematicsWhat is the set A = {x : x is a natural number and x² = 4}?Class 10SetsThe Empty Set, Finite and Infinite Sets, Equal SetsLevel 5EasyMathematicsWhich option gives the most precise set-builder form of B = {2, 4, 6, 8, 10}?Class 10SetsSets and their representationsLevel 2MediumMathematicsWhat is the roster form of S₁ = {x : x ∈ ℕ, x is a factor of 45 and x + 2 is prime}?Class 10SetsSets and their representationsLevel 3EasyMathematicsWhich is the roster form of X = {x : x = 3n − 1, n ∈ N, 1 ≤ n ≤ 5}?Class 10SetsSets and their representationsLevel 3EasyMathematicsIf N₁ = {x : x ∈ ℕ and x = 12/n, n ∈ ℕ}, what is the roster form of N₁?Class 10SetsSets and their representationsLevel 2Easy