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Subjects
Class 10MathematicsSetsSets and their representationsEasyLevel 7

If x ∈ [2, 6], which statement about x is correct?

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Answer and explanation

Correct answer: 2 ≤ x ≤ 6

The notation [2, 6] represents a closed interval. It contains every real number between 2 and 6, and the square brackets show that both endpoints are included. Therefore, x may be equal to 2, equal to 6, or any real number between them. The correct inequality is 2 ≤ x ≤ 6, so option A is correct.

Tags

setsinterval_notationclosed_intervalinequalitiesSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

2 ≤ x ≤ 6

Why is this the correct answer?

The notation [2, 6] represents a closed interval. It contains every real number between 2 and 6, and the square brackets show that both endpoints are included. Therefore, x may be equal to 2, equal to 6, or any real number between them. The correct inequality is 2 ≤ x ≤ 6, so option A is correct.

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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