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How will you define Union of two sets A and B?(a) {x: x € A or x € B}(b) {x: x € A or x € B (or both)}(c) {x: x € A and B}(d) {x: x € A – B}This question was addressed to me in an interview for internship.My question is based upon Sets and their Representations topic in portion Sets of Mathematics – Class 11

Answer»

Correct answer is (b) {x: x € A or x € B (or both)}

To elaborate: Union of two or more sets is the set of all elements that BELONGS to any of these sets.

The symbol used for this union of sets is ‘∪‘.

If A = {1, 2, 3, 4} and B = {2, 4, 5, 6} and C = {1, 2, 6, 8}

Then, A ∪ B ∪ C = {1, 2, 3, 4, 5, 6, 7, 8}.



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