If A = {2, 4, 6, 8} and B = {x : x is an even natural number and x < 10}, which statement is true?
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Answer and explanation
Correct answer: A = B
The even natural numbers less than 10 are 2, 4, 6, and 8. Therefore B = {2,4,6,8}, which is exactly A, so A = B. Options B and C incorrectly claim a proper-subset relationship. Option D is false because 10 is not an element of A, and the condition is x < 10 rather than x ≤ 10.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The even natural numbers less than 10 are 2, 4, 6, and 8. Therefore B = {2,4,6,8}, which is exactly A, so A = B. Options B and C incorrectly claim a proper-subset relationship. Option D is false because 10 is not an element of A, and the condition is x < 10 rather than x ≤ 10.
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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