JEE  >  07 - Empty Set

07 - Empty Set Video Lecture - Sets and Functions - JEE

FAQs on 07 - Empty Set Video Lecture - Sets and Functions - JEE

 1. What is an empty set in JEE?
Ans. An empty set in JEE refers to a set that does not contain any elements. It is denoted by the symbol Ø or {}. In other words, it is a set with no members.
 2. Why is the concept of an empty set important in JEE?
Ans. The concept of an empty set is important in JEE as it is a fundamental concept in set theory and forms the basis for many mathematical operations and proofs. It helps in defining the null set, subsets, and set operations like union, intersection, and complement.
 3. How is an empty set represented in JEE questions?
Ans. In JEE questions, the empty set is often represented using the symbol Ø or {}. It can be mentioned explicitly in the question statement or as a result of certain operations or conditions.
 4. Can an empty set be a subset of any set in JEE?
Ans. Yes, an empty set is a subset of every set in JEE. This is because every element of the empty set is also an element of any other set. In other words, the statement "for every x, if x is in the empty set, then x is in set A" is always true.
 5. How is the cardinality of an empty set defined in JEE?
Ans. The cardinality of an empty set in JEE is defined as 0. It means that the empty set does not contain any elements, and therefore, its cardinality is zero.

Sets and Functions

39 videos|11 docs

Sets and Functions

39 videos|11 docs

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