Answer
The Venn diagram of the provided set is:
Work Step by Step
Using the provided table, place the Country or Regions in the provided Venn diagram:
Roster form of provided sets are:
\[\begin{align}
& U=\left\{ \text{United States,Italy,Russia,East Africa,Japan,England,Iran} \right\} \\
& A=\left\{ \text{United States,Italy,Japan,England} \right\} \\
& B=\left\{ \text{United States,Italy,Japan,England} \right\} \\
& C=\left\{ \text{United States,Italy,Russia} \right\}
\end{align}\]
To construct a Venn diagram start with the innermost region V, which contains all the countries/regions which are common to all the provided sets A, B and C. So region V contains two elements “United States” and “Italy”
Now Region II contains all the countries/regions which are common in both set Aand set B but not in set C. So it contaions two elements “Japan” and “England”.
Region I contains elements which are in A only. Not in the set B and C. Since all the elements of Aare used up. So region I is empty.
In a similar way, region III is empty since it contains elements of set B only.
Region IV is also empty since it contains common element of A and C but it should not be an element of B. So it is also empty.
Similarly, Region VI is also empty since it contains common elements of B and C but should not be an element of A.
Region VII contains all the elements of set C only which are not element of set B and set A.
Finally, Region VIII contains all the element of U which are not member of any of the provided sets A, B and C.
