How do we write the inequality 0 ≤ x < 6 in interval notation?
Answer and explanation
Correct answer: [0, 6)
The symbol 0 ≤ x allows x to equal 0, so the lower endpoint is included and must use a square bracket. The symbol x < 6 excludes 6, so the upper endpoint must use a round bracket. Therefore the interval is [0, 6), making option B correct. The other forms incorrectly include or exclude one or both endpoints.
Frequently asked questions
What is the correct answer to this question?
[0, 6)
Why is this the correct answer?
The symbol 0 ≤ x allows x to equal 0, so the lower endpoint is included and must use a square bracket. The symbol x < 6 excludes 6, so the upper endpoint must use a round bracket. Therefore the interval is [0, 6), making option B correct. The other forms incorrectly include or exclude one or both endpoints.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.