Which interval represents 2 < x ≤ 9?
Answer and explanation
Correct answer: (2, 9]
The inequality 2 < x excludes 2, so the interval must begin with a round parenthesis. The condition x ≤ 9 includes 9, so the interval must end with a square bracket. Combining these endpoint rules gives (2, 9], which is option A. Option B includes 2 and excludes 9; C includes both endpoints, while D excludes both.
Frequently asked questions
What is the correct answer to this question?
(2, 9]
Why is this the correct answer?
The inequality 2 < x excludes 2, so the interval must begin with a round parenthesis. The condition x ≤ 9 includes 9, so the interval must end with a square bracket. Combining these endpoint rules gives (2, 9], which is option A. Option B includes 2 and excludes 9; C includes both endpoints, while D excludes both.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
