Which inequality form correctly represents the interval (2, 5]?
Answer and explanation
Correct answer: 2 < x ≤ 5
In interval notation, a round bracket excludes an endpoint and a square bracket includes it. The interval (2, 5] therefore excludes 2, giving x > 2, and includes 5, giving x ≤ 5. Combining both conditions produces 2 < x ≤ 5, which is option A. Options B, C, and D either include 2, exclude 5, or do both incorrectly.
Frequently asked questions
What is the correct answer to this question?
2 < x ≤ 5
Why is this the correct answer?
In interval notation, a round bracket excludes an endpoint and a square bracket includes it. The interval (2, 5] therefore excludes 2, giving x > 2, and includes 5, giving x ≤ 5. Combining both conditions produces 2 < x ≤ 5, which is option A. Options B, C, and D either include 2, exclude 5, or do both incorrectly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
