If A = {x : x ∈ Z, −2 < x < 2}, which of the following is A?
Answer and explanation
Correct answer: {−1, 0, 1}
The symbol Z denotes all integers. We need integers strictly greater than −2 and strictly less than 2. The integers satisfying both inequalities are −1, 0, and 1. The endpoints −2 and 2 are excluded because the inequalities are strict, not inclusive. Therefore A = {−1, 0, 1}, which is option B and is a finite set with three elements.
Frequently asked questions
What is the correct answer to this question?
{−1, 0, 1}
Why is this the correct answer?
The symbol Z denotes all integers. We need integers strictly greater than −2 and strictly less than 2. The integers satisfying both inequalities are −1, 0, and 1. The endpoints −2 and 2 are excluded because the inequalities are strict, not inclusive. Therefore A = {−1, 0, 1}, which is option B and is a finite set with three elements.
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.
