Page 53 - NUMINO Challenge_D2

6 Including and Excluding

Basic Concepts Venn Diagram

It is easier to solve a complex problem by drawing a picture. The following
shows different relationships between two sets of data using pictures.

A AB AB AB

B

B is included in A. A and B do not have a A and B are the A and B have a
common part. same. common part.

The picture shown above is called a Venn diagram, which is named after an
English mathematician named Venn who first introduced this diagram in
1880. Venn made the abstract part of the mathematics, such as logic that
people are having difficulty with, easier by drawing a Venn diagram and
giving it a concrete form.

Example Look at the diagram below. Write as many statements as you can
about the relationships among the sets of data.

BC
A

Class Notes Common part
of B and C.
A is included in
. Therefore, if it is in A, then it is in B.

A and do not have a common part. Therefore, if it is in A, then it is not in C.

and C have a common part. This common part does not include .

Try It Again Look at the diagram on the right. Find the incorrect A
statement(s). B
C
C is included in B and A.
B is included in A.
If it is C, then it is A.
If it is not B, then it is not A.
A and C have B as the common part.

50 NUMINO Challenge D2