A' U B venn diagram.
A n (B U C) venn diagram.
A' U B
http://mrithulabanu.blogspot.com/2011/08/venn-diagrams.html
A ∩ (B U C)
http://onlinemathhomework.wordpress.com/2012/11/19/three-circle-venn-diagram-help/
To illustrate the two Venn diagrams mentioned, let's start with the A' U B Venn diagram.
1. A' U B Venn diagram:
a. Begin by drawing a rectangle to represent the universal set that contains all the elements relevant to the problem.
b. Inside the rectangle, draw two overlapping circles to represent sets A and B.
c. Label the areas inside the circles as A and B, respectively.
d. The complement of set A, denoted as A', refers to all the elements outside of set A. Shade the area outside of set A but within the rectangle. You can label this shaded area as A'.
e. Finally, consider the union of A' and B, denoted as A' U B. This union represents all elements that are either in set A' or set B. Shade the area that represents this union, labeling it as A' U B.
2. A n (B U C) Venn diagram:
a. Again, begin by drawing a rectangle that represents the universal set.
b. Inside the rectangle, draw three overlapping circles to represent sets A, B, and C.
c. Label the sections inside each circle as A, B, and C, respectively.
d. Consider the set union of B and C, denoted as B U C. Shade the area that represents the union of B and C, labeling it as B U C.
e. Now, focus on the intersection between A and the union of B and C, i.e., A n (B U C). This intersection refers to the elements that are common to set A and the union of B and C. Shade the area that represents this intersection, labeling it as A n (B U C).
Remember, when drawing Venn diagrams, it's essential to properly label the sets and shaded regions to accurately represent the given problem.