explain about sets ,forms of sets, operation on sets ,and explain one problem
Answers
Answer:
➡️In mathematics, a set is a collection of elements. The elements that make up a set can be any kind of mathematical objects: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets. ... Two sets are equal if and only if they have precisely the same elements.
➡️Types of a Set
-Finite Set. A set which contains a definite number of elements is called a finite set. ...
-Infinite Set. A set which contains infinite number of elements is called an infinite set. ...
-Subset. ...
-Proper Subset. ...
-Universal Set. ...
-Empty Set or Null Set. ...
-Singleton Set or Unit Set. ...
Equal Set.
➡️Operation on sets
The symbol ∪ is employed to denote the union of two sets. Thus, the set A ∪ B—read “A union B” or “the union of A and B”—is defined as the set that consists of all elements belonging to either set A or set B (or both). The intersection operation is denoted by the symbol ∩. ...
➡️
QLet A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).
Solution:
A - Using the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B).
then n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 20 + 28 - 36
= 48 - 36
= 12