Which statement about the empty set is correct?
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Answer and explanation
Correct answer: It is a subset of every set
The empty set, written as ∅, has no elements. A set S is a subset of T if every element of S is also in T. Since ∅ has no elements, there is no element that can violate this condition, so ∅ ⊆ T for every set T. The empty set is different from {0}, because {0} contains the single element 0.
Frequently asked questions
What is the correct answer to this question?
It is a subset of every set
Why is this the correct answer?
The empty set, written as ∅, has no elements. A set S is a subset of T if every element of S is also in T. Since ∅ has no elements, there is no element that can violate this condition, so ∅ ⊆ T for every set T. The empty set is different from {0}, because {0} contains the single element 0.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Sets. Topic: Sets and their representations.
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