If A = {x : x ∈ Z, x² < 4}, which set is A?
Answer and explanation
Correct answer: {−1, 0, 1}
We need integers whose squares are strictly less than 4. The integers −1, 0, and 1 have squares 1, 0, and 1, respectively, all less than 4. The integers −2 and 2 have square 4, so they are excluded because the inequality is strict. No other integer can satisfy the condition. Therefore, A = {−1, 0, 1}, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
{−1, 0, 1}
Why is this the correct answer?
We need integers whose squares are strictly less than 4. The integers −1, 0, and 1 have squares 1, 0, and 1, respectively, all less than 4. The integers −2 and 2 have square 4, so they are excluded because the inequality is strict. No other integer can satisfy the condition. Therefore, A = {−1, 0, 1}, so option B is correct.
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.
