Let A be the set of prime factors of 18 and B = {2, 3}. Which statement is correct?
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Answer and explanation
Correct answer: A = B
The prime factorization of 18 is 18 = 2 × 3 × 3 = 2 × 3². When prime factors are written as a set, a repeated factor is listed only once. Thus A = {2, 3}, which is exactly the set B. The sets are equal, not proper subsets of one another, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The prime factorization of 18 is 18 = 2 × 3 × 3 = 2 × 3². When prime factors are written as a set, a repeated factor is listed only once. Thus A = {2, 3}, which is exactly the set B. The sets are equal, not proper subsets of one another, so option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
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