Which option correctly represents the empty set?
Answer and explanation
Correct answer: ∅
The governing concept is the definition of an empty set: it is a set containing no elements. The symbol ∅ is specially used for this set. In contrast, 0 is a number, while {0} is a one-element set whose only member is 0. Similarly, {1} contains one element, namely 1. Therefore, option C alone represents the empty set; the braces in B and D show that those sets are not empty.
Frequently asked questions
What is the correct answer to this question?
∅
Why is this the correct answer?
The governing concept is the definition of an empty set: it is a set containing no elements. The symbol ∅ is specially used for this set. In contrast, 0 is a number, while {0} is a one-element set whose only member is 0. Similarly, {1} contains one element, namely 1. Therefore, option C alone represents the empty set; the braces in B and D show that those sets are not empty.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Common Questions. Topic: General chapter practice.
