If A = ∅ and B = {x : x ∈ N, x < 1}, which statement is correct?
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Answer and explanation
Correct answer: A = B
Using the convention N = {1, 2, 3, ...}, there is no natural number less than 1. Therefore B has no elements and B = ∅. Since A is also defined as the empty set, both sets contain exactly the same elements. Hence A = B. The answer depends on the stated convention that natural numbers begin with 1.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Using the convention N = {1, 2, 3, ...}, there is no natural number less than 1. Therefore B has no elements and B = ∅. Since A is also defined as the empty set, both sets contain exactly the same elements. Hence A = B. The answer depends on the stated convention that natural numbers begin with 1.
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.
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