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Class 10MathematicsSetsEqual sets and SubsetsMediumLevel 7

If A = {x : x² − 5x + 6 = 0} and B = {2, 3}, what is the relation between A and B?

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Answer and explanation

Correct answer: A = B

Factor the quadratic equation: x² − 5x + 6 = (x − 2)(x − 3) = 0. Hence x = 2 or x = 3, so the set of solutions is A = {2,3}. The given set B is also {2,3}. Since two sets are equal when they have exactly the same elements, A = B. Therefore option A is the correct relation.

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equal setsquadratic equationset-builder formsetsMathematicsEqual sets and SubsetsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A = B

Why is this the correct answer?

Factor the quadratic equation: x² − 5x + 6 = (x − 2)(x − 3) = 0. Hence x = 2 or x = 3, so the set of solutions is A = {2,3}. The given set B is also {2,3}. Since two sets are equal when they have exactly the same elements, A = B. Therefore option A is the correct relation.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.

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