If A = {x : x is a prime number from 1 to 20} and B = {2,3,5,7,11,13,17,19}, what is the conclusion?
Answer and explanation
Correct answer: A = B
A prime number is a natural number greater than 1 that has exactly two positive divisors: 1 and itself. The prime numbers from 1 through 20 are 2, 3, 5, 7, 11, 13, 17, and 19. Number 1 is not prime because it has only one positive divisor. Thus A and B contain exactly the same elements, so A = B. Option D incorrectly includes 1.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
A prime number is a natural number greater than 1 that has exactly two positive divisors: 1 and itself. The prime numbers from 1 through 20 are 2, 3, 5, 7, 11, 13, 17, and 19. Number 1 is not prime because it has only one positive divisor. Thus A and B contain exactly the same elements, so A = B. Option D incorrectly includes 1.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
