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How do we write the inequality 0 ≤ x < 6 in interval notation?

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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.

Tags

inequality-to-intervalinterval-notationendpoint-inclusionsetsSets and their representationsMathematicsClass 10 MCQ

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.

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