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Subjects

Which interval represents x ≥ 5?

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Answer and explanation

Correct answer: [5, ∞)

The inequality x ≥ 5 includes 5 because equality is allowed, so a square bracket is used at 5. It also includes every real number greater than 5, continuing without upper bound toward infinity. Infinity is not an actual real endpoint, so a round bracket is always used with it. Thus the correct interval is [5, ∞).

Tags

infinite-intervalinterval-notationinequalitiessetsSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

[5, ∞)

Why is this the correct answer?

The inequality x ≥ 5 includes 5 because equality is allowed, so a square bracket is used at 5. It also includes every real number greater than 5, continuing without upper bound toward infinity. Infinity is not an actual real endpoint, so a round bracket is always used with it. Thus the correct interval is [5, ∞).

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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