The interval (1, 1) is equal to what?
Answer and explanation
Correct answer: ∅
The open interval (1, 1) consists of real numbers x satisfying 1 < x < 1. No real number can be simultaneously greater than 1 and less than 1. The parentheses also exclude both endpoints, so 1 is not included. Consequently the interval contains no elements and is the empty set ∅. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The open interval (1, 1) consists of real numbers x satisfying 1 < x < 1. No real number can be simultaneously greater than 1 and less than 1. The parentheses also exclude both endpoints, so 1 is not included. Consequently the interval contains no elements and is the empty set ∅. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, many more. Step 3: Hence the set is infinite..
