NIELIT University(Govt. of India Institution) B.Tech/ M.Tech
ApplyLast Date to Apply : 15th September | Campuses in Agartala, Aizawl, Ajmer, Aurangabad, Calicut, Imphal, Itanagar, Kohima, Gorakhpur, Patna & Srinagar
Union of sets, Properties of union is considered one of the most asked concept.
15 Questions around this concept.
If is a set of natural numbers, then
is equal to :
Venn Diagram
A diagram that represents or shows different sets is called a Venn diagram.
Universal set (U) is usually represented by a rectangle and its subsets are usually represented by circles (or any other closed curve).
For example, the set of natural numbers (N) is a subset of the set of whole numbers (W) which is a subset of integers (here integer(Z) is the universal set).
Example
In the above figure Universal Set (U) = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Set A = {2, 3, 5, 7, 8, 9, 10} and B = {2,3, 5}
A is a subset of U (A ⊂ U)
B is a subset of A (B ⊂ A)
Union of Sets
Let A and B be any two sets. The union of A and B is the set which consists of all the elements of A and all the elements of B, the common elements being taken only once. The symbol ‘∪’ is used to denote the union.
Symbolically, we write A U B = {x: x ∈ A or x ∈ B}.
Properties of union
A ∪ B = B ∪ A (Commutative Property)
( A B )
C = A
( B
C) (Associative property)
A φ = A (Law of identity element, φ is the identity of Null Set)
A A = A (Idempotent law)
U A = U (Law of U)
If A is a subset of B, then A ∪ B = B
"Stay in the loop. Receive exam news, study resources, and expert advice!"
Mathematics Textbook for Class VII
Page No. : 13
Line : 30
July 04, 2019
1648+ Downloads
170442+ Downloads
6243+ Downloads
17044+ Downloads
Last Date to Apply : 15th September | Campuses in Agartala, Aizawl, Ajmer, Aurangabad, Calicut, Imphal, Itanagar, Kohima, Gorakhpur, Patna & Srinagar
Asia's Only University with the Highest US & UK Accreditation
Approved by UGC, PCI, & COA. Best Innovative Private Institute in Gujarat. 600+ Recruiters, 3000+ Students Placed, 1500+ Industrial Internship Opportunities, 250+ International Internships.
Highest CTC 25 LPA | Average CTC 5.54 LPA | 280+ Recruiters
International Learning Opportunities | UGC Approved | State-of-the-Art Laboratories
Outstanding faculty of Eminence from IIT, BITS, IIM, IIIT NIT, NID and faculty from foreign universities | Merit & sports based scholarship