A={1,2,3,4,6,8,12,24,48 B= { 1,2,3,4,6,8,12,24} find AUB,A intersection B,A-B,B-A what is relation between set AandB
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Answers
Question
A={1,2,3,4,6,8,12,24,48 B= { 1,2,3,4,6,8,12,24} find AUB,A intersection B,A-B,B-A what is relation between set A and B.
Given
- A = { 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 , 48 }
- B = { 1 , 2 , 3 , 4 , 6 , 8 , 12 , 24 }
Solution
As
A = { 1, 2 , 3 , 4 , 6 , 12 , 24 , 48 } and B = { 1, 2 , 3 , 4 , 6 , 8 , 12 , 24 }
the elements in the set B are all in the set A
So we can say that B subset A
Types of set
singleton set
a set Consisting of a single element is called a singleton set.
Example - A = { 2 }
A is the set of even prime numbers.
Empty set or Null set
If there is not a single element in the set which statisfies the given condition then it is called a Null set or an empty set. Null set is represented by { } .
Example -
B = { x | x is natural number between 2 and 3. }
Finite set
If a set is a null set or number of elements are limited and countable then it is called as ' Finite set '.
Example -
C = { p | p is a number from 1 to 22 divisible by 4 .}
C = { 4, 8, 12, 16, 20 }
Infinite set
If a number of elements in a set is unlimited and uncountable then it is called as ' Infinite set '
Example -
N = { 1 , 2 , 3 ... }