The interval [1, 1] is equal to which set?
Answer and explanation
Correct answer: {1}
The closed interval [1, 1] contains all real numbers x satisfying 1 ≤ x ≤ 1. The only real number that satisfies both inequalities is x = 1, and the square brackets indicate that the endpoint is included. Therefore [1, 1] contains exactly one element and is equal to the singleton set {1}. Option A is correct.
Frequently asked questions
What is the correct answer to this question?
{1}
Why is this the correct answer?
The closed interval [1, 1] contains all real numbers x satisfying 1 ≤ x ≤ 1. The only real number that satisfies both inequalities is x = 1, and the square brackets indicate that the endpoint is included. Therefore [1, 1] contains exactly one element and is equal to the singleton set {1}. Option A is correct.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, many more. Step 3: Hence the set is infinite..
