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Class 10MathematicsSetsComplement of a Set and Its PropertiesMediumLevel 20

If the universal set U = {p, q, r, s, t, u, v}, A' = {q, s, u}, and B = {p, q, t, v}, what is A ∩ B?

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Answer and explanation

Correct answer: {p, t, v}

The complement A' contains the elements of U that are not in A. Therefore, A = U − A' = {p, r, t, v}. Set B is {p, q, t, v}. The elements common to A and B are p, t, and v, so A ∩ B = {p, t, v}. Element q belongs to B but not to A, so it must not be included in the intersection. Thus, option A is correct.

Tags

setscomplementintersectionset operationsComplement of a Set and Its PropertiesMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

{p, t, v}

Why is this the correct answer?

The complement A' contains the elements of U that are not in A. Therefore, A = U − A' = {p, r, t, v}. Set B is {p, q, t, v}. The elements common to A and B are p, t, and v, so A ∩ B = {p, t, v}. Element q belongs to B but not to A, so it must not be included in the intersection. Thus, option A is correct.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Complement of a Set and Its Properties.

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