-aux.01 Venn diagram universal set U and sets A and B.

[karush]

open

 

[Plato2]

This is \(\displaystyle B\cap A'\)View attachment 1176

 

[karush]

so I have $B\cup A'$

(c) $\displaystyle\frac{n(B\cup A')}{n(U)}=\frac{35}{100}=\frac{7}{20}$

 

[MarkFL]

so I have $B\cup A'$

(c) $\displaystyle\frac{n(B\cup A')}{n(U)}=\frac{35}{100}=\frac{7}{20}$

That is correct. :D

 

[CellCoree]

A Venn diagram is a graphical representation of sets and their relationships. The universal set, denoted by U, is the set that contains all elements under consideration. Sets A and B are subsets of the universal set U, which means that they only contain elements that are also present in U.

The Venn diagram for U, A, and B would consist of three overlapping circles, with the universal set U representing the entire space, and sets A and B representing the two smaller overlapping spaces within U. The overlapping area between A and B represents the elements that are common to both sets.

This diagram can be used to visually represent various operations on sets, such as union, intersection, and complement. It is a useful tool for understanding the relationships between sets and can be applied in various fields of science, including mathematics, statistics, and computer science.

In summary, the Venn diagram for universal set U and sets A and B is a valuable tool for organizing and analyzing data and can aid in making logical conclusions based on the relationships between sets.