Which interval includes 4 but does not include 1?
Answer and explanation
Correct answer: (1,4]
An interval includes an endpoint when a square bracket is used and excludes it when a round bracket is used. In (1,4], the round bracket at 1 means that 1 is excluded, while the square bracket at 4 means that 4 is included. Option A excludes both endpoints, option B includes 1 but excludes 4, and option D includes both endpoints.
Frequently asked questions
What is the correct answer to this question?
(1,4]
Why is this the correct answer?
An interval includes an endpoint when a square bracket is used and excludes it when a round bracket is used. In (1,4], the round bracket at 1 means that 1 is excluded, while the square bracket at 4 means that 4 is included. Option A excludes both endpoints, option B includes 1 but excludes 4, and option D includes both endpoints.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.