Mathematics Exam > Mathematics Videos > Mathematics for IIT JAM, GATE, CSIR NET, UGC NET > Set Operations - 1
Set Operations - 1 Video Lecture | Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
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FAQs on Set Operations - 1 Video Lecture - Mathematics for IIT JAM, GATE, CSIR NET, UGC NET
| 1. What are set operations in mathematics? |  |
Ans. Set operations in mathematics refer to the various operations that can be performed on sets, such as union, intersection, difference, and complement. These operations allow us to manipulate and compare sets to analyze their relationships.
| 2. What is the union of two sets? | |
Ans. The union of two sets is an operation that combines all the elements from both sets into a single set. It is denoted by the symbol "∪". For example, if we have set A = {1, 2, 3} and set B = {3, 4, 5}, the union of A and B would be A ∪ B = {1, 2, 3, 4, 5}.
| 3. How do you find the intersection of two sets? | |
Ans. The intersection of two sets is the operation that determines the common elements between the two sets. It is denoted by the symbol "∩". To find the intersection, we list all the elements that are present in both sets. For example, if we have set A = {1, 2, 3} and set B = {3, 4, 5}, the intersection of A and B would be A ∩ B = {3}.
| 4. What is the difference between two sets? | |
Ans. The difference between two sets is an operation that identifies the elements that are present in one set but not in the other. It is denoted by the symbol "-". To find the difference, we remove the common elements from one set and keep the remaining elements. For example, if we have set A = {1, 2, 3} and set B = {3, 4, 5}, the difference of A and B would be A - B = {1, 2}.
| 5. What is the complement of a set? | |
Ans. The complement of a set is the operation that identifies all the elements that are not present in the set but belong to the universal set. It is denoted by the symbol "′" or "'". For example, if we have a universal set U = {1, 2, 3, 4, 5} and a set A = {1, 3}, the complement of A would be A' = {2, 4, 5}.
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