Which set is equal to ∅?
Answer and explanation
Correct answer: {x : x is a natural number and x < 0}
The empty set ∅ has no elements. There is no natural number less than zero, so the condition in option C cannot be satisfied by any natural number. Consequently, that set contains no elements and is equal to ∅. In contrast, {0}, {1}, and {∅} each contain one element; notably, {∅} contains the empty set as an element and is not itself empty.
Frequently asked questions
What is the correct answer to this question?
{x : x is a natural number and x < 0}
Why is this the correct answer?
The empty set ∅ has no elements. There is no natural number less than zero, so the condition in option C cannot be satisfied by any natural number. Consequently, that set contains no elements and is equal to ∅. In contrast, {0}, {1}, and {∅} each contain one element; notably, {∅} contains the empty set as an element and is not itself empty.
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.
