Ven diagrams show how different groups relate to each other. In this example, we have a ven diagram to sort cards. The left circle is for any card that has a triangle. The right circle is for any card with an odd number. The area where the two circles overlap is for cards that are both a triangle and have an odd number. Our first card has a triangle and the number four. Since it has a triangle, it belongs inside the triangle circle. Is the number odd? No. Four is even. So, this card goes in the part of the triangle circle that does not overlap with the odd circle. Next is a card with a triangle and the number three. Is it a triangle? Yes. Is the number odd? Yes, three is odd. Because this card meets both conditions, it belongs in the intersection where the two circles overlap. Let's look at this card. It has a square and the number two. Is it a triangle? No, it's a square. Is it an odd number? No, two is even. Since this card doesn't fit the triangle group or the odd group, it belongs outside both circles.
The overlapping region is for cards that meet both criteria, while the outer area is for cards that meet neither.
Here, instead of placing one card, let's select all regions that represent a triangle. We want any card that's a triangle, whether its number is odd or even. So, we select the entire triangle circle, including the overlapping part and the non-over overlapping part. Now, let's select the regions that represent an even card. Even is the opposite of odd. So, we want every region that is not inside the odd circle. This includes the part of the triangle circle for triangles that aren't odd and the area outside both circles.
Ven diagrams are a powerful tool for organizing information and understanding relationships.