Which statement is correct for A = {x : x² = 16} and B = {−4, 4}?
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Answer and explanation
Correct answer: A = B
Solving x² = 16 gives x = 4 or x = −4. Therefore A = {−4, 4}, which is exactly the set B. Sets are equal when they contain the same elements; the order in which those elements are written is irrelevant. Thus A = B, while the proper-subset and empty-intersection statements are false.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Solving x² = 16 gives x = 4 or x = −4. Therefore A = {−4, 4}, which is exactly the set B. Sets are equal when they contain the same elements; the order in which those elements are written is irrelevant. Thus A = B, while the proper-subset and empty-intersection statements are false.
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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