If A = {x : x is a positive multiple of 3 and x < 15} and B = {3, 6, 9, 12}, which conclusion is correct?
Answer and explanation
Correct answer: A = B (A और B समान समुच्चय हैं)
The positive multiples of 3 are 3, 6, 9, 12, 15, and so on. Applying the strict condition x < 15 excludes 15, leaving A = {3, 6, 9, 12}. This is exactly the set B, so A = B. Neither set contains an extra element, and option D is wrong because 15 does not satisfy x < 15. The symbols < and ≤ must be distinguished carefully.
Frequently asked questions
What is the correct answer to this question?
A = B (A और B समान समुच्चय हैं)
Why is this the correct answer?
The positive multiples of 3 are 3, 6, 9, 12, 15, and so on. Applying the strict condition x < 15 excludes 15, leaving A = {3, 6, 9, 12}. This is exactly the set B, so A = B. Neither set contains an extra element, and option D is wrong because 15 does not satisfy x < 15. The symbols < and ≤ must be distinguished carefully.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
