Which inequality correctly represents the interval [3, 9]?
Answer and explanation
Correct answer: 3 ≤ x ≤ 9
In the interval [3, 9], square brackets are used at both ends. A square bracket means that the endpoint is included. Hence x may be equal to 3 and may also be equal to 9, while every value between them is allowed. The equivalent inequality is 3 ≤ x ≤ 9, so option B is correct.
Frequently asked questions
What is the correct answer to this question?
3 ≤ x ≤ 9
Why is this the correct answer?
In the interval [3, 9], square brackets are used at both ends. A square bracket means that the endpoint is included. Hence x may be equal to 3 and may also be equal to 9, while every value between them is allowed. The equivalent inequality is 3 ≤ x ≤ 9, so option B is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.