1. **Problem:** Learn a Venn diagram with an example and a drawing. 2. **Formula / idea used:** A Venn diagram shows how sets overlap. - $A \cup B$ means everything in set $A$ or set $B$. - $A \cap B$ means the overlap, or the items in both sets. - The number in each region tells how many items belong there. 3. **Example:** Suppose in a class: - $12$ students like math. - $10$ students like science. - $4$ students like both math and science. Then we split the circles like this: - Math only: $12-4=8$ - Science only: $10-4=6$ - Both: $4$ 4. **Check the work:** - Math circle total: $8+4=12$ - Science circle total: $6+4=10$ So the numbers match the information given. 5. **Drawing:** - Draw two overlapping circles. - Label one circle Math and the other Science. - Put $8$ in the Math-only part. - Put $4$ in the overlap. - Put $6$ in the Science-only part. 6. **Final answer:** A Venn diagram is a picture that shows how sets overlap. In this example, Math only is $8$, both is $4$, and Science only is $6$.