If A = {x : x ∈ Z, −2 ≤ x < 2}, which of the following sets is equal to A?
Answer and explanation
Correct answer: {−2, −1, 0, 1}
The notation specifies that x must be an integer and must satisfy −2 ≤ x < 2. The symbol ≤ includes −2, while the symbol < excludes 2. Listing all integers in this half-closed interval gives −2, −1, 0, and 1. Therefore A = {−2, −1, 0, 1}, which is exactly option A. Option B omits −2, option C incorrectly includes 2, and option D omits valid integers and includes an invalid endpoint.
Frequently asked questions
What is the correct answer to this question?
{−2, −1, 0, 1}
Why is this the correct answer?
The notation specifies that x must be an integer and must satisfy −2 ≤ x < 2. The symbol ≤ includes −2, while the symbol < excludes 2. Listing all integers in this half-closed interval gives −2, −1, 0, and 1. Therefore A = {−2, −1, 0, 1}, which is exactly option A. Option B omits −2, option C incorrectly includes 2, and option D omits valid integers and includes an invalid endpoint.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
