Which option is an example of an open interval?
Answer and explanation
Correct answer: (2,6)
An open interval excludes both of its finite endpoints. Round brackets indicate exclusion, so (2,6) represents all real numbers x satisfying 2<x<6; neither 2 nor 6 belongs to the interval. Option A is closed because both endpoints are included, while options C and D are half-open because exactly one endpoint is included.
Frequently asked questions
What is the correct answer to this question?
(2,6)
Why is this the correct answer?
An open interval excludes both of its finite endpoints. Round brackets indicate exclusion, so (2,6) represents all real numbers x satisfying 2<x<6; neither 2 nor 6 belongs to the interval. Option A is closed because both endpoints are included, while options C and D are half-open because exactly one endpoint is included.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
