What is the interval form of {x : x ∈ ℝ, 2 < x < 7}?
Answer and explanation
Correct answer: (2, 7), open interval
Both inequalities are strict: 2 < x excludes the endpoint 2, and x < 7 excludes the endpoint 7. An excluded endpoint is represented by a round bracket in interval notation. Since neither endpoint is included, the set is the open interval (2, 7). Equivalently, it contains every real number strictly between 2 and 7, but not 2 or 7 themselves.
Frequently asked questions
What is the correct answer to this question?
(2, 7), open interval
Why is this the correct answer?
Both inequalities are strict: 2 < x excludes the endpoint 2, and x < 7 excludes the endpoint 7. An excluded endpoint is represented by a round bracket in interval notation. Since neither endpoint is included, the set is the open interval (2, 7). Equivalently, it contains every real number strictly between 2 and 7, but not 2 or 7 themselves.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
