If A = {x ∈ R : -2 ≤ x ≤ 2}, how will A be written in interval form?
Answer and explanation
Correct answer: [-2, 2]
The symbol R denotes the set of all real numbers, so x may be any real number satisfying the inequality. The condition -2 ≤ x ≤ 2 includes both endpoint values -2 and 2. In interval notation, an included endpoint is represented by a square bracket. Therefore, the set is written as [-2, 2]. It is not a finite roster set because infinitely many real numbers lie between -2 and 2.
Frequently asked questions
What is the correct answer to this question?
[-2, 2]
Why is this the correct answer?
The symbol R denotes the set of all real numbers, so x may be any real number satisfying the inequality. The condition -2 ≤ x ≤ 2 includes both endpoint values -2 and 2. In interval notation, an included endpoint is represented by a square bracket. Therefore, the set is written as [-2, 2]. It is not a finite roster set because infinitely many real numbers lie between -2 and 2.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
