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Subjects

Mathematics

Operations on Sets (Union, Intersection, Difference)

समुच्चयों पर संक्रियाएँ (संघ, प्रतिच्छेद और अंतर)

In Class 11 Mathematics, the Sets chapter introduces Operations on Sets (Union, Intersection, Difference). Students learn to combine sets using union, identify common elements through intersection, and find elements belonging to one set but not another using difference. They also apply these operations to subset relations, Venn diagrams, and problems involving the number of elements in sets.

Practice questions

If A = [1, 4] and B = (2, 5), what is A ∩ B?If A = (0, 3) and B = [3, 7], what is A ∩ B?If A = [−3, 2] and B = [0, 5], what is A ∪ B?If A = (1, 2) and B = (3, 4), how should A ∪ B be written?If A = (−∞, 4] and B = (1, ∞), what is A ∩ B?If A = {x ∈ R : x ≤ 0} and B = {x ∈ R : x ≥ 0}, what is A ∩ B?If A = (−4, 1] and B = [−2, 3), what is A \ B?If A = {x : x is a positive multiple of 2 or 3 less than 12}, what is A?If \(A=\{1,2,3,4\}\) and \(B=\{2,3\}\), which statement about \(A-B\) is correct?If A ⊆ B, which of the following statements is always true?If A ∪ B = B, which conclusion is necessarily true?If A − B = ∅, which conclusion is correct?If \(A\subseteq B\) and \(B\subseteq C\), what is \(A\cap C\) equal to?If \(A\subseteq B\), what is \(A\setminus B\) equal to?If A △ B = {7} and A ⊆ B, what is B − A equal to?In a class of 40 students, 18 are in the mathematics club and 15 are in the science club. If 6 students are in both clubs, how many students are in neither club?If A and B are subsets of U, what is (A ∪ B)′ equal to?A school has 75 students. Of these, 32 students take part in music and 28 take part in drama. If 10 students take part in both activities, how many students take part in neither activity?If U={1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4,5}, and B={2,4,6,8,10}, how many elements are in A'∪B'?If U = {x : x ∈ N, x ≤ 24}, A is the set of multiples of 2, and B is the set of multiples of 3, what is |(A ∩ B)'|?