If A={x:x∈R and 1<x<2}, how do we write A in interval notation?
Answer and explanation
Correct answer: (1,2)
The condition 1<x<2 is strict at both ends. Therefore, x may be any real number between 1 and 2, but it cannot equal 1 or 2. Strict inequalities are represented with round brackets, so the interval notation is (1,2). Square brackets would incorrectly include the corresponding endpoint; hence A, C, and D do not match the given set-builder description.
Frequently asked questions
What is the correct answer to this question?
(1,2)
Why is this the correct answer?
The condition 1<x<2 is strict at both ends. Therefore, x may be any real number between 1 and 2, but it cannot equal 1 or 2. Strict inequalities are represented with round brackets, so the interval notation is (1,2). Square brackets would incorrectly include the corresponding endpoint; hence A, C, and D do not match the given set-builder description.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
