Final answer:
A Venn diagram is a visual representation of sets or events. To shade the given set (A'B A) U A, draw a rectangle to represent the sample space, draw a circle or oval to represent event A, draw a circle or oval labeled A' to represent the complement of A, find the intersection of A' and A, and shade the union of A and the intersection.
Step-by-step explanation:
Venn Diagram
A Venn diagram is a visual representation of sets or events. It consists of circles or ovals that represent events and a rectangle that represents the sample space. The overlapping areas of the circles or ovals represent outcomes that are in both events.
Answering the Question
To shade the given set (A'B A) U A in the Venn diagram, follow these steps:
- Start by drawing a rectangle to represent the sample space.
- Draw a circle or oval inside the rectangle to represent event A.
- Label the other circle or oval as A' to represent the complement of A.
- Find the intersection between A' and A, which is the shaded area in the overlapping region of the circles or ovals.
- Finally, shade the union of A and the shaded area in the overlapping region to represent (A'B A) U A.