If A = {x : x is a positive divisor of 12} and B = {1, 2, 3, 4, 6, 12}, which statement is correct?
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Answer and explanation
Correct answer: A = B
The positive divisors of 12 are 1, 2, 3, 4, 6, and 12. Therefore A = {1, 2, 3, 4, 6, 12}, which is exactly the set B. Since both sets contain the same elements, they are equal. Neither proper-subset statement can be true, and A is certainly not empty because 1, among other numbers, is a positive divisor of 12.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive divisors of 12 are 1, 2, 3, 4, 6, and 12. Therefore A = {1, 2, 3, 4, 6, 12}, which is exactly the set B. Since both sets contain the same elements, they are equal. Neither proper-subset statement can be true, and A is certainly not empty because 1, among other numbers, is a positive divisor of 12.
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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