If A = {x ∈ ℕ : x is less than 10} and B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, which statement about A and B is correct?
Answer and explanation
Correct answer: A = B और दोनों परिमित समुच्चय हैं — A = B and both are finite
Using the usual school convention ℕ = {1, 2, 3, ...}, the natural numbers less than 10 are exactly 1 through 9. Thus A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, which is precisely the set B. Since this list contains nine elements, both A and B are finite. The fact that 10 is not included is correct because the condition says “less than 10,” not “less than or equal to 10.” Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B और दोनों परिमित समुच्चय हैं — A = B and both are finite
Why is this the correct answer?
Using the usual school convention ℕ = {1, 2, 3, ...}, the natural numbers less than 10 are exactly 1 through 9. Thus A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, which is precisely the set B. Since this list contains nine elements, both A and B are finite. The fact that 10 is not included is correct because the condition says “less than 10,” not “less than or equal to 10.” 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.
