Which is the correct interval form of non-negative real numbers?
Answer and explanation
Correct answer: [0, ∞)
Non-negative real numbers are all real numbers greater than or equal to zero, so they satisfy x ≥ 0. Because zero is included, the left endpoint must use a square bracket. The set continues without bound toward positive infinity, and infinity always uses a round bracket because it is not a real number. Thus the correct interval is [0, ∞), making option B correct.
Frequently asked questions
What is the correct answer to this question?
[0, ∞)
Why is this the correct answer?
Non-negative real numbers are all real numbers greater than or equal to zero, so they satisfy x ≥ 0. Because zero is included, the left endpoint must use a square bracket. The set continues without bound toward positive infinity, and infinity always uses a round bracket because it is not a real number. Thus the correct interval is [0, ∞), making option B correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: representation on number line.