If A = {2, 3, 5, 7} and B = {x : x is a prime number less than 10}, which statement is true?
Answer and explanation
Correct answer: A = B
To compare the sets, write B in roster form. The prime numbers less than 10 are 2, 3, 5, and 7, so B = {2, 3, 5, 7}. This is exactly the roster form of A. Since two sets are equal when they contain precisely the same elements, A = B. Therefore, option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
To compare the sets, write B in roster form. The prime numbers less than 10 are 2, 3, 5, and 7, so B = {2, 3, 5, 7}. This is exactly the roster form of A. Since two sets are equal when they contain precisely the same elements, A = B. 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.