Which option correctly describes the closed interval [2, 2]?
Answer and explanation
Correct answer: It is equal to {2}
The closed interval [2, 2] contains every real number x satisfying 2 ≤ x ≤ 2. The only possible value is x = 2, so the interval contains exactly one element and is therefore the singleton set {2}. It is not empty, not an ordered pair, and certainly not the set of all real numbers. Equal endpoints in a closed interval produce a singleton.
Frequently asked questions
What is the correct answer to this question?
It is equal to {2}
Why is this the correct answer?
The closed interval [2, 2] contains every real number x satisfying 2 ≤ x ≤ 2. The only possible value is x = 2, so the interval contains exactly one element and is therefore the singleton set {2}. It is not empty, not an ordered pair, and certainly not the set of all real numbers. Equal endpoints in a closed interval produce a singleton.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
