If A = {2, 4, 6} and B = {x : x is a positive even number less than 8}, which statement is correct?
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Answer and explanation
Correct answer: A = B
The positive even numbers less than 8 are 2, 4, and 6. Thus the condition defining B produces B = {2, 4, 6}, which contains exactly the same elements as A. Two sets are equal when they have precisely the same elements, regardless of how they are written. Therefore A = B and option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive even numbers less than 8 are 2, 4, and 6. Thus the condition defining B produces B = {2, 4, 6}, which contains exactly the same elements as A. Two sets are equal when they have precisely the same elements, regardless of how they are written. Therefore A = B and option A is correct.
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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