Which of the following is A = {x : x is a prime number less than 10}?
Answer and explanation
Correct answer: {2, 3, 5, 7}
A prime number is a natural number greater than 1 with exactly two positive divisors: 1 and itself. Checking numbers below 10 gives 2, 3, 5, and 7 as primes. The number 1 is not prime, and 4, 6, 8, and 9 are composite because they have more than two divisors. Therefore A = {2, 3, 5, 7}, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
{2, 3, 5, 7}
Why is this the correct answer?
A prime number is a natural number greater than 1 with exactly two positive divisors: 1 and itself. Checking numbers below 10 gives 2, 3, 5, and 7 as primes. The number 1 is not prime, and 4, 6, 8, and 9 are composite because they have more than two divisors. Therefore A = {2, 3, 5, 7}, so option B 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.
