How many real numbers are there in the interval (1, 2)?
Answer and explanation
Correct answer: Infinitely many
The open interval (1, 2) contains all real numbers strictly greater than 1 and strictly less than 2. Although the endpoints 1 and 2 are excluded, there are still infinitely many numbers between them. For example, 3/2, 4/3, 5/4, and many decimal values lie inside the interval, and more can always be found. Hence D is correct.
Frequently asked questions
What is the correct answer to this question?
Infinitely many
Why is this the correct answer?
The open interval (1, 2) contains all real numbers strictly greater than 1 and strictly less than 2. Although the endpoints 1 and 2 are excluded, there are still infinitely many numbers between them. For example, 3/2, 4/3, 5/4, and many decimal values lie inside the interval, and more can always be found. Hence D is correct.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Linear Inequalities. Topic: representation on number line.
