Which statement correctly describes the empty set?
Answer and explanation
Correct answer: The empty set is a subset of every set.
The empty set has no elements. For a set to fail to be a subset of another set, it must contain at least one element that is missing from the other set. Since the empty set has no element that can violate this condition, it is a subset of every set, including itself. It is different from {0}, which has one element.
Frequently asked questions
What is the correct answer to this question?
The empty set is a subset of every set.
Why is this the correct answer?
The empty set has no elements. For a set to fail to be a subset of another set, it must contain at least one element that is missing from the other set. Since the empty set has no element that can violate this condition, it is a subset of every set, including itself. It is different from {0}, which has one element.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: The Empty Set, Finite and Infinite Sets, Equal Sets.
