If A = {1, 2, 3, 4} and B = {x : x is a natural number less than 5}, is A = B?
Answer and explanation
Correct answer: Yes, because both have exactly the same elements
Natural numbers less than 5 are 1, 2, 3, and 4, so B = {1, 2, 3, 4}. This is exactly the same collection as A. Two sets are equal when they contain the same elements; the way a set is written, such as roster form or set-builder form, does not affect equality. Therefore, A = B, and option A is correct.
Frequently asked questions
What is the correct answer to this question?
Yes, because both have exactly the same elements
Why is this the correct answer?
Natural numbers less than 5 are 1, 2, 3, and 4, so B = {1, 2, 3, 4}. This is exactly the same collection as A. Two sets are equal when they contain the same elements; the way a set is written, such as roster form or set-builder form, does not affect equality. 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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