Explore BrainMass

Drawing a Venn Diagram

Use the information provided:


and use a venn diagram to determine wheather (A U B') U C= (A' U B) U C' for all sets A, B, and C. Show your work.

Solution Preview

Please see the attached file for the complete solution.
Thanks for using BrainMass.

Venn diagram
Use the information provided

and use a Venn diagram to determine whether for all sets A, B, and C. Show your works.

First, let us draw a Venn diagram containing sets A, B, C, and the universal set U as follows.

Next, consider each set and its compliment. For a better understanding, we will use colors to identify each set and its compliments in the Venn diagram.

Consider set A. The set A (containing 1, 10, and 15) is the blue rectangular blocks shown below.

Figure 1 Venn diagram with set A shown by the blue rectangular blocks

Its compliment, , can be easily seen as the rectangular blocks, which contain the numbers other than 1, 10, and 15. The diagram of is illustrated below.

Figure 2 Venn diagram with the ...

Solution Summary

A Venn diagram is constructed from given data. The solution is detailed and well presented. The response received a rating of "5" from the student who originally posted the question.