If A = {x : x ∈ Z, −1 ≤ x ≤ 2} and B = {−1, 0, 1, 2}, which statement is correct?
Answer and explanation
Correct answer: A = B
The set-builder description says that x is an integer from −1 through 2, including both endpoints. Listing these integers gives A = {−1, 0, 1, 2}. This is exactly the roster form used to define B. Since both sets contain precisely the same elements, they are equal; neither is a proper subset of the other. 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 set-builder description says that x is an integer from −1 through 2, including both endpoints. Listing these integers gives A = {−1, 0, 1, 2}. This is exactly the roster form used to define B. Since both sets contain precisely the same elements, they are equal; neither is a proper subset of the other. 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.
