Venn Diagram with Lines

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A Venn diagram is a diagram in which the sets are represented through circles and their relations are shown by overlapping the circles and in other ways. Venn diagrams are one of the best ways of representing sets and relations and they are very helpful as they give a lot of information about the number of elements present in each set, and the number of elements present in common for different sets etc. Venn diagram with lines is the diagram where lines are used to represent the region of different sets.

Example 1: In a classroom, there are students who play basketball and students who play tennis. What kind
of students does the Venn diagram with lines represent below?

In the above given Venn diagram, we can see two circles and these two circles represent the set of students
who play basketball (B) and tennis (T).

The region shaded in the Venn diagram is the portion common to both the circles (sets).

Hence the shaded region represents the number of students who play both basketball and tennis.

Example 2: In a classroom, there are students who like ice-creams and students who like cookies.Construct a Venn diagram with lines and represent students who only like cookies.

To construct a Venn diagram, we always start by drawing the circles which represents set of students who

like ice-creams (I) and students who like cookies (C).

To represent students who only like cookies, we must shade the region which only belongs to cookies. Hence

the Venn diagram with lines shown below represents the given situation.