Which set is a subset of R and has exactly one element?
Answer and explanation
Correct answer: {√2}
A singleton is a set containing exactly one element. Since √2 is a real number, the set {√2} is a subset of R and has precisely one member. The empty set has zero elements, the interval (0, 1) has infinitely many real elements, and {1, 2} has two elements. Thus option A satisfies both conditions.
Frequently asked questions
What is the correct answer to this question?
{√2}
Why is this the correct answer?
A singleton is a set containing exactly one element. Since √2 is a real number, the set {√2} is a subset of R and has precisely one member. The empty set has zero elements, the interval (0, 1) has infinitely many real elements, and {1, 2} has two elements. Thus option A satisfies both conditions.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Power Set and Subsets.