If x ∈ (2, 6), which statement is true?
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Answer and explanation
Correct answer: 2 < x < 6
The interval (2, 6) is open at both ends because it uses round parentheses. Consequently, 2 and 6 are excluded, while every real number strictly between them is included. The equivalent inequality is therefore 2 < x < 6. Option B would describe the closed interval [2, 6], so it is not correct.
Frequently asked questions
What is the correct answer to this question?
2 < x < 6
Why is this the correct answer?
The interval (2, 6) is open at both ends because it uses round parentheses. Consequently, 2 and 6 are excluded, while every real number strictly between them is included. The equivalent inequality is therefore 2 < x < 6. Option B would describe the closed interval [2, 6], so it is not 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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