Which statement is correct about the interval [a,b], where a < b?
Answer and explanation
Correct answer: Both a and b are included
In interval notation, a square bracket at an endpoint means that endpoint belongs to the set. The interval [a,b] has a square bracket on both sides, so it contains a, b, and every real number between them. The condition a < b ensures that the interval has positive length, but it does not change the inclusion rule. Therefore, both endpoints are included.
Frequently asked questions
What is the correct answer to this question?
Both a and b are included
Why is this the correct answer?
In interval notation, a square bracket at an endpoint means that endpoint belongs to the set. The interval [a,b] has a square bracket on both sides, so it contains a, b, and every real number between them. The condition a < b ensures that the interval has positive length, but it does not change the inclusion rule. Therefore, both endpoints are included.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Equal sets and Subsets.
