If A = {x : x is a positive divisor of 6} and B = {1, 2, 3, 6}, choose the correct statement.
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Answer and explanation
Correct answer: A = B
The positive divisors of 6 are the positive integers that divide 6 without leaving a remainder. They are 1, 2, 3, and 6. Therefore A = {1, 2, 3, 6}, which is exactly the same collection of elements as B. Since sets are equal when they contain precisely the same elements, A = B is necessary.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive divisors of 6 are the positive integers that divide 6 without leaving a remainder. They are 1, 2, 3, and 6. Therefore A = {1, 2, 3, 6}, which is exactly the same collection of elements as B. Since sets are equal when they contain precisely the same elements, A = B is necessary.
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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