CBSE Class 11-science Answered
SIR I AM FACING DIFFICULTY IN FORMING VENN DIAGRAMS . CAN YOU HELP ME OUT . PLEASE DESCRIBE THE WAYS TO DO IT.
Asked by Trisha Gupta | 08 Apr, 2014, 04:39: PM
Expert Answer
Venn diagrams are pictorial representations used to display mathematical or logical relationships between two or more given sets.
The drawing consists of two or more circles, each representing a specific group.
Each Venn diagram begins with a rectangle representing the universal set U.
Then each set in the problem is represented by a circle.
Any values that belong to more than one set will be placed in the sections where the circles overlap.
A typical venn diagram is shown in the figure below:
In the figure, set A contains the multiples of 2 which are less than 30 and set B contains multiples of 3 which are less than 25. Therefore, A = {2, 4, 6, 8, 10, 12... 26, 28} and B = {3, 6, 9, 12... 21, 24}.
The various areas in the above diagram depict the following relationships:
1) Intersection (AB)- Denotes the set of elements that are shared by two or more given sets. In the figure
given below, the intersection of the two sets is shown.
(AB) = {6, 12, 18, 24}
2) Union (AUB)- Denotes all the elements of the given sets taken once.
A U B = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 26, 28}
Examples
Answered by | 08 Apr, 2014, 06:54: PM
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