LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

SETS - VENN DIAGRAM

**Venn
Diagram –**

**Venn diagrams are set diagrams drawn to represent sets. A
closed curve or a rectangle is drawn and the points of the interior of the
closed curve represents the elements of the set under consideration. The
diagrams can be identified –**

**(i) By using the letter name of the set illustrated, or**

**(ii) By writing the members of the set within a curve as
shown in figure**

**It may be noted that only the points in the interior of the
closed curve belong to the set. A point on the boundary of the region does not
belongs to the set.**

**The universal set is generally represented by the set of
points of a rectangular region as shown in the figure..**

**After having got the universal set represented by the
interior region of the rectangle, smaller closed geometrical figures are used
to represent various subsets of the universal set.**

**Below figure illustrates two intersecting sets, A & B as subsets
of universal sets ξ.**

**Below figure shows two non intersecting sets, A and B as
subsets of a universal set ξ.**

**Below figure shows set B as a proper subset of set A**

**Below figure shows the universal set is represented by a
rectangle and the set A which is contained in the universal set by a circle ‘a’
is an element of set A, a ∈ A.**

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