Shade the Venn diagram of A' ,if A,B&C are non disjoint sets

Answer 1

To shade the Venn diagram of \( A' \) (the complement of set \( A \)), follow these steps:

1. Identify the Universal Set: In a Venn diagram, the universal set typically encompasses all possible elements being considered. This is usually represented by a rectangle surrounding the circles that represent sets \( A \), \( B \), and \( C \).

2. Understand the Complement: The complement of set \( A \), denoted \( A' \), consists of all elements in the universal set that are not in \( A \).

3. Shade the Appropriate Area:

   • Draw the Venn diagram with circles representing sets \( A \), \( B \), and \( C \).
   • To depict \( A' \), shade all the area outside of circle \( A \), which includes areas covered by \( B \), \( C \), as well as any areas that are outside of both sets \( B \) and \( C \) but still within the universal set.

Since \( A \), \( B \), and \( C \) are non-disjoint, the area within the intersection of these sets is already included where they overlap but it is not a part of the shaded area when representing \( A' \).

The final shaded area will include everything outside of the circle representing set \( A \). This will visually represent all elements that are not in set \( A \).