Operation on Sets Class 11
Operation on Sets Class 11
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Sets in mathematics have several fundamental operations that can be performed on them. The most common operations on sets include:
1. Union: The union of two sets A and B, denoted by A ∪ B, is the set that contains all the elements that are in A, in B, or in both. In other words, it combines all the elements from both sets without duplication.
2. Intersection: The intersection of two sets A and B, denoted by A ∩ B, is the set that contains all the elements that are common to both sets. It includes only the elements that are present in both A and B.
3. Difference: The difference between two sets A and B, denoted by A \ B or A - B, is the set that contains all the elements that are in A but not in B. It excludes the elements that are common to both sets.
4. Complement: The complement of a set A, denoted by A', is the set that contains all the elements that are not in A but are in the universal set (the set that contains all possible elements in a given context). The complement is defined with respect to the universal set.
These operations provide the basis for set theory and are used to manipulate and analyze sets in various mathematical contexts.
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