If A is the set of positive prime numbers less than 7 and B = {2, 3, 5}, choose the correct statement.
Answer and explanation
Correct answer: A = B
A prime number is a positive integer greater than 1 with exactly two positive divisors: 1 and itself. The positive primes less than 7 are 2, 3, and 5. The number 1 is not prime, and 7 is excluded because the condition says less than 7, not less than or equal to 7. Therefore A = {2, 3, 5} = B.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
A prime number is a positive integer greater than 1 with exactly two positive divisors: 1 and itself. The positive primes less than 7 are 2, 3, and 5. The number 1 is not prime, and 7 is excluded because the condition says less than 7, not less than or equal to 7. Therefore A = {2, 3, 5} = B.
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.