Which statement is correct about the interval (3, 9]?
Answer and explanation
Correct answer: 3 is not included and 9 is included.
The interval (3, 9] uses a round bracket at 3 and a square bracket at 9. The round bracket means that 3 is excluded, so 3 ∉ (3, 9]. The square bracket means that 9 is included, so 9 ∈ (3, 9]. Therefore statement B is correct. In general, an interval is interpreted by checking the bracket at each endpoint separately.
Frequently asked questions
What is the correct answer to this question?
3 is not included and 9 is included.
Why is this the correct answer?
The interval (3, 9] uses a round bracket at 3 and a square bracket at 9. The round bracket means that 3 is excluded, so 3 ∉ (3, 9]. The square bracket means that 9 is included, so 9 ∈ (3, 9]. Therefore statement B is correct. In general, an interval is interpreted by checking the bracket at each endpoint separately.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
