If M = {1, 2, 3, 4} and N = {x : x ∈ N, x < 5}, is M = N?
Advertisement
Answer and explanation
Correct answer: Yes, they are equal
The set-builder description of N selects every natural number less than 5. Thus N = {1, 2, 3, 4}, assuming natural numbers begin with 1. This is exactly the roster form of M. Two sets are equal when they contain precisely the same elements, regardless of how those elements are written.
Frequently asked questions
What is the correct answer to this question?
Yes, they are equal
Why is this the correct answer?
The set-builder description of N selects every natural number less than 5. Thus N = {1, 2, 3, 4}, assuming natural numbers begin with 1. This is exactly the roster form of M. Two sets are equal when they contain precisely the same elements, regardless of how those elements are written.
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.
Advertisement