What is the interval notation for 1 ≤ x ≤ 4?
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Answer and explanation
Correct answer: [1, 4]
The inequality 1 ≤ x ≤ 4 includes every real number from 1 through 4. Because equality is allowed at both ends, the numbers 1 and 4 are included in the solution set. Therefore, square brackets are used at both endpoints, giving the closed interval [1, 4]. Parentheses would incorrectly exclude an endpoint.
Frequently asked questions
What is the correct answer to this question?
[1, 4]
Why is this the correct answer?
The inequality 1 ≤ x ≤ 4 includes every real number from 1 through 4. Because equality is allowed at both ends, the numbers 1 and 4 are included in the solution set. Therefore, square brackets are used at both endpoints, giving the closed interval [1, 4]. Parentheses would incorrectly exclude an endpoint.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: representation on number line.
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