If A = {x ∈ ℕ : x is a prime factor of 18} and B = {2, 3}, choose the correct statement.
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Answer and explanation
Correct answer: A = B
The prime factorisation of 18 is 18 = 2 × 3 × 3 = 2 × 3². The only prime numbers that divide 18 are 2 and 3. Numbers such as 6, 9, and 18 are factors, but they are not prime, so they do not belong to A. Therefore A = {2, 3}, which is exactly B, and A = B is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The prime factorisation of 18 is 18 = 2 × 3 × 3 = 2 × 3². The only prime numbers that divide 18 are 2 and 3. Numbers such as 6, 9, and 18 are factors, but they are not prime, so they do not belong to A. Therefore A = {2, 3}, which is exactly B, and A = 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.
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