If A = {x : x ∈ N, x is a factor of 10} and B = {x : x ∈ N, x is a factor of 20 and x ≤ 10}, what is the correct statement?
Answer and explanation
Correct answer: A ≠ B
The natural-number factors of 10 are A = {1, 2, 5, 10}. The factors of 20 not exceeding 10 are B = {1, 2, 4, 5, 10}. Although most elements are common, B contains the additional element 4. Since two sets are equal only when they have exactly the same elements, A and B are unequal. Therefore, option B is correct.
Frequently asked questions
What is the correct answer to this question?
A ≠ B
Why is this the correct answer?
The natural-number factors of 10 are A = {1, 2, 5, 10}. The factors of 20 not exceeding 10 are B = {1, 2, 4, 5, 10}. Although most elements are common, B contains the additional element 4. Since two sets are equal only when they have exactly the same elements, A and B are unequal. Therefore, 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.
