How do we write the inequality 1 < x < 4 in interval notation?
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Answer and explanation
Correct answer: (1, 4)
The inequality 1 < x < 4 requires x to be greater than 1 and less than 4. Neither endpoint is allowed because there is no equality sign at either end. In interval notation, excluded endpoints are written with parentheses. Therefore, the correct interval is (1, 4), which is option A.
Frequently asked questions
What is the correct answer to this question?
(1, 4)
Why is this the correct answer?
The inequality 1 < x < 4 requires x to be greater than 1 and less than 4. Neither endpoint is allowed because there is no equality sign at either end. In interval notation, excluded endpoints are written with parentheses. Therefore, the correct interval is (1, 4), which is option A.
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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