If A = {x ∈ ℤ : −2 < x < 2} and B = {−1, 0, 1}, which statement is correct?
Answer and explanation
Correct answer: A = B
Because x must be an integer strictly greater than −2 and strictly less than 2, neither endpoint −2 nor 2 is included. The only integers satisfying the inequality are −1, 0, and 1. Therefore A = {−1, 0, 1}, which is exactly the same collection of elements as B. Sets are equal when they contain precisely the same elements, regardless of the order in which those elements are written.
Frequently asked questions
What is the correct answer to this question?
A = B
Why is this the correct answer?
Because x must be an integer strictly greater than −2 and strictly less than 2, neither endpoint −2 nor 2 is included. The only integers satisfying the inequality are −1, 0, and 1. Therefore A = {−1, 0, 1}, which is exactly the same collection of elements as B. Sets are equal when they contain precisely the same elements, regardless of the order in which 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.
