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Class 10MathematicsSetsEqual sets and SubsetsEasyLevel 8

If A = {x : x ∈ Z and x^2 = 9} and B = {-3, 3, 9}, what is the correct relation?

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Answer and explanation

Correct answer: A is a proper subset of B

To determine A, solve x^2 = 9. The integer solutions are x = -3 and x = 3, so A = {-3, 3}. Set B contains these two elements and one additional element, 9: B = {-3, 3, 9}. Hence every element of A belongs to B, but A and B are not equal. Therefore, A is a proper subset of B.

Tags

setsproper_subsetinteger_rootsset_equalityEqual sets and SubsetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

A is a proper subset of B

Why is this the correct answer?

To determine A, solve x^2 = 9. The integer solutions are x = -3 and x = 3, so A = {-3, 3}. Set B contains these two elements and one additional element, 9: B = {-3, 3, 9}. Hence every element of A belongs to B, but A and B are not equal. Therefore, A is a proper subset of B.

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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