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Subjects
Class 10MathematicsSetsSets and their representationsEasyLevel 7

What is the correct meaning of the interval [2, 5)?

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Answer and explanation

Correct answer: 2 ≤ x < 5

In interval notation, a square bracket includes the endpoint and a parenthesis excludes it. The left bracket in [2, 5) includes 2, so x may equal 2. The right parenthesis excludes 5, so x must be less than 5. Therefore the equivalent inequality is 2 ≤ x < 5, making option A correct.

Tags

setshalf-open intervalinequalitiesinterval notationSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

2 ≤ x < 5

Why is this the correct answer?

In interval notation, a square bracket includes the endpoint and a parenthesis excludes it. The left bracket in [2, 5) includes 2, so x may equal 2. The right parenthesis excludes 5, so x must be less than 5. Therefore the equivalent inequality is 2 ≤ x < 5, making option A 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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