If A = {x ∈ N : x is prime and x < 10} and B = {2, 3, 5}, choose the correct statement.
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Answer and explanation
Correct answer: B ⊂ A and B ≠ A
The prime natural numbers less than 10 are 2, 3, 5, and 7, so A = {2,3,5,7}. Every element of B is in A, but B does not contain 7. Thus B is a proper subset of A and B ≠ A. The sets are not equal, and their intersection is not empty because they share 2, 3, and 5.
Frequently asked questions
What is the correct answer to this question?
B ⊂ A and B ≠ A
Why is this the correct answer?
The prime natural numbers less than 10 are 2, 3, 5, and 7, so A = {2,3,5,7}. Every element of B is in A, but B does not contain 7. Thus B is a proper subset of A and B ≠ A. The sets are not equal, and their intersection is not empty because they share 2, 3, and 5.
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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