Which statement is correct for the interval [4, 10)?
Answer and explanation
Correct answer: 4 is included and 10 is not included
The left square bracket in [4, 10) includes the endpoint 4, so x = 4 is allowed. The right round bracket excludes 10, so x = 10 is not allowed. Thus the interval represents 4 ≤ x < 10. It is called a half-open or half-closed interval because one endpoint is included and the other is excluded.
Frequently asked questions
What is the correct answer to this question?
4 is included and 10 is not included
Why is this the correct answer?
The left square bracket in [4, 10) includes the endpoint 4, so x = 4 is allowed. The right round bracket excludes 10, so x = 10 is not allowed. Thus the interval represents 4 ≤ x < 10. It is called a half-open or half-closed interval because one endpoint is included and the other is excluded.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Sets.
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