Question

3. Draw Venn diagram of three sets A B, and C illustrating the following:
(i) AuBuC (ii) A and B are disjoint but both are subsets of C
(iii) Au(B\C) (iv) (B U C)\ A (v) A U (B u C)
(vi) C u (B \A) (vii) C u(B U A)

Answer 1

Venn diagram :
A Venn diagram is a closed figure used to denote a set. Points within such a closed figure represent the elements of the set. Venn diagrams can be used to represent the relationship between sets. That Universal set U is usually represented by a rectangle. All the elements of a set are indicated by points inside the circle representing the set. The elements can also be written inside the circle without marking the points. An object that is not a member of a set is placed outside the circle representing the set.

•A\B means removing all elements of B from A.

Union of two sets :
The union of the sets A and B is the set of all the element that belongs to either A or B or both. It is denoted by A U B(“A union B”).

Intersection of two sets :
The intersection of the sets a and b is the set of all the elements which belong to both A and B. It is denoted by A ∩ B (“ A intersection B”).
•If A and B do not have any element in common then A ∩ B= a null set = Ø

VENN DIAGRAMS IS ON THE ATTACHMENT.

HOPE THIS WILL HELP YOU….

Answer 2

Answer:

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