What is the interval form of negative real numbers?
Answer and explanation
Correct answer: (-∞, 0)
Negative real numbers are precisely the real numbers less than zero, so they satisfy x < 0. Since zero itself is neither negative nor less than zero, it must not be included. The interval therefore extends indefinitely to the left and ends at 0 with a round bracket: (-∞, 0). Infinity is also written with a round bracket because it is not a real endpoint. Hence option A is correct.
Frequently asked questions
What is the correct answer to this question?
(-∞, 0)
Why is this the correct answer?
Negative real numbers are precisely the real numbers less than zero, so they satisfy x < 0. Since zero itself is neither negative nor less than zero, it must not be included. The interval therefore extends indefinitely to the left and ends at 0 with a round bracket: (-∞, 0). Infinity is also written with a round bracket because it is not a real endpoint. Hence option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
