Which statement is correct about the interval (-∞, 5)?
Answer and explanation
Correct answer: 5 is not included
The interval (-∞, 5) represents every real number x such that x < 5. The round bracket at 5 shows that 5 itself is excluded. The interval contains negative numbers, zero, and positive numbers less than 5, so it is certainly not restricted to positive numbers and is not empty. Infinity is not an actual endpoint, so it is always written with a round bracket.
Frequently asked questions
What is the correct answer to this question?
5 is not included
Why is this the correct answer?
The interval (-∞, 5) represents every real number x such that x < 5. The round bracket at 5 shows that 5 itself is excluded. The interval contains negative numbers, zero, and positive numbers less than 5, so it is certainly not restricted to positive numbers and is not empty. Infinity is not an actual endpoint, so it is always written with a round bracket.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
