Which statement is false?
Answer and explanation
Correct answer: {0} is an empty set.
The set {0} contains the element 0, so it has one element and is a singleton set, not an empty set. The empty set is written as ∅ or {}, and it contains no elements. Statement A is true because the empty set is finite with cardinality zero. Statement C correctly describes equal sets, and statement D expresses the unending nature of an infinite set.
Frequently asked questions
What is the correct answer to this question?
{0} is an empty set.
Why is this the correct answer?
The set {0} contains the element 0, so it has one element and is a singleton set, not an empty set. The empty set is written as ∅ or {}, and it contains no elements. Statement A is true because the empty set is finite with cardinality zero. Statement C correctly describes equal sets, and statement D expresses the unending nature of an infinite set.
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.
