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Subjects

Which statement is correct for the interval (0, 4]?

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Answer and explanation

Correct answer: 0 is not included and 4 is included.

In interval notation, a parenthesis means that the endpoint is excluded, while a square bracket means that the endpoint is included. The interval (0, 4] therefore excludes 0 because of the left parenthesis and includes 4 because of the right square bracket. It contains all real numbers greater than 0 and less than or equal to 4.

Tags

setsinterval_meaningendpoint_inclusionhalf_open_intervalreal_numbersSets and their representationsMathematicsClass 10 MCQ

Frequently asked questions

What is the correct answer to this question?

0 is not included and 4 is included.

Why is this the correct answer?

In interval notation, a parenthesis means that the endpoint is excluded, while a square bracket means that the endpoint is included. The interval (0, 4] therefore excludes 0 because of the left parenthesis and includes 4 because of the right square bracket. It contains all real numbers greater than 0 and less than or equal to 4.

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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