Question

Draw a Venn diagram for \((A \cap B)-C\).

Short answer

The Venn diagram will consist of a rectangle representing the universal set, with three overlapping circles. The shaded area will represent the intersection of A and B, excluding elements that are also in set C.

Step-by-step solution

Draw Universal Set

First, draw a rectangle to represent the universal set. This contains all possible elements.

Draw the Individual Sets

Then draw three overlapping circles inside the rectangle, representing the individual sets A, B, and C.

Identify Intersection of Sets A and B

Next, identify the intersection of sets A and B. This is the area where both circles A and B overlap.

Exclude Set C

Finally, subtract set C from the intersection of A and B. This means you should shade the area where set A and set B overlap but set C does not.