If A = {1, 3, 5, 7} and B = {x : x is a positive odd number less than 8}, how are A and B related?
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Answer and explanation
Correct answer: A = B
The positive odd natural numbers less than 8 are 1, 3, 5, and 7. Thus the rule-based description of B gives B = {1, 3, 5, 7}, which is exactly the listed set A. Since two sets are equal when they contain precisely the same elements, A = B. Neither is a proper subset of the other, and their intersection is not empty.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The positive odd natural numbers less than 8 are 1, 3, 5, and 7. Thus the rule-based description of B gives B = {1, 3, 5, 7}, which is exactly the listed set A. Since two sets are equal when they contain precisely the same elements, A = B. Neither is a proper subset of the other, and their intersection is not empty.
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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