Which interval is correct for x ≥ 3?
Answer and explanation
Correct answer: [3, ∞)
The symbol ≥ means greater than or equal to. Thus, the solution contains 3 as well as every real number greater than 3. Since 3 is included, a square bracket is used at the left endpoint. The interval extends toward positive infinity, where a parenthesis is required because infinity is not a real number that can be included. Therefore, the answer is [3, ∞).
Frequently asked questions
What is the correct answer to this question?
[3, ∞)
Why is this the correct answer?
The symbol ≥ means greater than or equal to. Thus, the solution contains 3 as well as every real number greater than 3. Since 3 is included, a square bracket is used at the left endpoint. The interval extends toward positive infinity, where a parenthesis is required because infinity is not a real number that can be included. Therefore, the answer is [3, ∞).
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.