If A = {x : x is a positive multiple of 6 and x < 20} and B = {6, 12, 18}, which relation is correct?
Answer and explanation
Correct answer: A and B are equal
The positive multiples of 6 that are less than 20 are 6, 12, and 18. The next positive multiple is 24, which is not less than 20. Thus A = {6,12,18}. This is exactly the set B, so A and B are equal. The set is finite because it has only three elements, and neither set is a proper subset of the other. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
A and B are equal
Why is this the correct answer?
The positive multiples of 6 that are less than 20 are 6, 12, and 18. The next positive multiple is 24, which is not less than 20. Thus A = {6,12,18}. This is exactly the set B, so A and B are equal. The set is finite because it has only three elements, and neither set is a proper subset of the other. Therefore, 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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