What set does the interval (-∞, ∞) represent?
Answer and explanation
Correct answer: R
The interval (-∞, ∞) represents every real number because there is no finite lower or upper boundary. It covers the entire real number line, including negative numbers, zero, positive numbers, rational numbers, and irrational numbers. Therefore it is the set of real numbers, denoted by R. It is not limited to natural numbers, integers, or rational numbers, so option A is correct.
Frequently asked questions
What is the correct answer to this question?
R
Why is this the correct answer?
The interval (-∞, ∞) represents every real number because there is no finite lower or upper boundary. It covers the entire real number line, including negative numbers, zero, positive numbers, rational numbers, and irrational numbers. Therefore it is the set of real numbers, denoted by R. It is not limited to natural numbers, integers, or rational numbers, so 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.
