Sets class 11 is generally a collection of objects. It is well defined. Set is described by a capital letter.
A = {1, 2, 3, 4, 5}
As we represent a set as a capital letter. A is a set that contains five elements, like 1, 2,3,4,5. These elements cannot be repeated. All the elements are represented in a small letter. The set's cardinal number is as follows:
Set is represented in three forms. These are:
Roster form: A = {2, 4, 6, 8, 10, 12}
Statement form: A set of even numbers is less than 16.
Set Builder form: A = {x: x=2n, n ∈ N and 1 ≤ n ≤ 16}
A∪B = B∪A
A∩B = B∩A
A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)
A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
A ∪ (B ∪ C) = (A ∪ B) ∪ C
A ∩ (B ∩ C) = (A ∩ B) ∩ C
Law of union: (A ∪ B)’ = A’ ∩ B.’
Law of intersection: (A ∩ B)’ = A’ ∪ B.’