The interval [2,2] is equal to which set?
Answer and explanation
Correct answer: {2}
The closed interval [2,2] represents all real numbers x satisfying 2 ≤ x ≤ 2. A number cannot be both less than and greater than 2 under this condition; the only possible value is exactly x = 2. Since the endpoint is included at both sides, the interval contains one element only. Therefore, [2,2] is the singleton set {2}, not the empty set.
Frequently asked questions
What is the correct answer to this question?
{2}
Why is this the correct answer?
The closed interval [2,2] represents all real numbers x satisfying 2 ≤ x ≤ 2. A number cannot be both less than and greater than 2 under this condition; the only possible value is exactly x = 2. Since the endpoint is included at both sides, the interval contains one element only. Therefore, [2,2] is the singleton set {2}, not the empty set.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
