The interval (2,2) is equal to what?
Answer and explanation
Correct answer: ∅ / empty set
The open interval (2,2) consists of real numbers x satisfying 2 < x < 2. This condition is impossible because no real number can be strictly greater than 2 and strictly less than 2 at the same time. The endpoints are excluded as well, so 2 is not present. Consequently, the interval contains no elements and is equal to the empty set, written as ∅.
Frequently asked questions
What is the correct answer to this question?
∅ / empty set
Why is this the correct answer?
The open interval (2,2) consists of real numbers x satisfying 2 < x < 2. This condition is impossible because no real number can be strictly greater than 2 and strictly less than 2 at the same time. The endpoints are excluded as well, so 2 is not present. Consequently, the interval contains no elements and is equal to the empty set, written as ∅.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
