Which option represents 1 ≤ x ≤ 5 in interval notation?
Answer and explanation
Correct answer: [1, 5]
The inequality 1 ≤ x ≤ 5 includes both endpoints because equality is allowed at 1 and at 5. In interval notation, an included endpoint is written with a square bracket. Therefore the correct interval is [1, 5]. Option A excludes both endpoints, option C excludes 5, and option D excludes 1, so none of them represents the given double inequality exactly.
Frequently asked questions
What is the correct answer to this question?
[1, 5]
Why is this the correct answer?
The inequality 1 ≤ x ≤ 5 includes both endpoints because equality is allowed at 1 and at 5. In interval notation, an included endpoint is written with a square bracket. Therefore the correct interval is [1, 5]. Option A excludes both endpoints, option C excludes 5, and option D excludes 1, so none of them represents the given double inequality exactly.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
