If A = {x ∈ Z : x² = 9} and B = {-3, 3}, choose the correct statement.
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Answer and explanation
Correct answer: A = B
We need the integers whose square is 9. Solving x² = 9 gives x = 3 or x = -3, because both 3² and (-3)² equal 9. Therefore A = {-3, 3}. This is exactly the set B, so the two sets are equal. Hence statement A is correct, while the other statements are false.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
We need the integers whose square is 9. Solving x² = 9 gives x = 3 or x = -3, because both 3² and (-3)² equal 9. Therefore A = {-3, 3}. This is exactly the set B, so the two sets are equal. Hence statement A is correct, while the other statements are false.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
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