If A = {x : x is an odd natural number and x < 6} and B = {1, 3, 5}, choose the correct statement.
Answer and explanation
Correct answer: A = B
The odd natural numbers less than 6 are 1, 3, and 5, so the set-builder description gives A = {1, 3, 5}. This is exactly the set listed as B. Since two sets are equal when they have precisely the same elements, A = B. Neither A nor B is a proper subset of the other because a proper subset must be strictly smaller and cannot be equal to the original set. Thus option A is correct.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
The odd natural numbers less than 6 are 1, 3, and 5, so the set-builder description gives A = {1, 3, 5}. This is exactly the set listed as B. Since two sets are equal when they have precisely the same elements, A = B. Neither A nor B is a proper subset of the other because a proper subset must be strictly smaller and cannot be equal to the original set. Thus option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
