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Which statement is correct for the interval [3, 7)?

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Answer and explanation

Correct answer: 3 is included and 7 is not included

The square bracket in [3, 7) means that the left endpoint 3 belongs to the interval. The round bracket after 7 means that 7 is excluded. In inequality form, the interval is 3 ≤ x < 7, so it contains 3 but not 7. Consequently, option A is correct. The other choices reverse or ignore the meanings of the brackets.

Tags

half-open-intervalinterval-notationreal-numbersendpointsSets and their representationsSetsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

3 is included and 7 is not included

Why is this the correct answer?

The square bracket in [3, 7) means that the left endpoint 3 belongs to the interval. The round bracket after 7 means that 7 is excluded. In inequality form, the interval is 3 ≤ x < 7, so it contains 3 but not 7. Consequently, option A is correct. The other choices reverse or ignore the meanings of the brackets.

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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