If A = {x : x is a positive prime number less than 4} and B = {2, 3}, which statement is correct about A and B?
Answer and explanation
Correct answer: A = B
A positive prime number has exactly two positive divisors. The positive prime numbers less than 4 are 2 and 3; 1 is not prime, and no other positive integer less than 4 qualifies. Thus the descriptive set-builder form becomes A = {2,3}. Since B is also {2,3}, both sets contain precisely the same elements and are equal. Therefore option B is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
A positive prime number has exactly two positive divisors. The positive prime numbers less than 4 are 2 and 3; 1 is not prime, and no other positive integer less than 4 qualifies. Thus the descriptive set-builder form becomes A = {2,3}. Since B is also {2,3}, both sets contain precisely the same elements and are equal. Therefore option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
