i have a venn diagram that has a large yellow triangle in the middle. what can i lable the other two loops

Question

the table gives the possible sorting attributes for each loop in the Venn diagram.

1. Explain why the attribute LARGE cannot be the label for either loop.
2. The large yellow triangle (LYT) is located in the intersection of both loops.
   Using just this piece of information,Write which of the attributes in the table can be eliminated as possible loop labels by using the location of LYT?
3. Use the remaining 3 clues to determine the label for each loop.

Comments

To answer the question the table needs to be shown. We have no idea otherwise what the Venn diagram represents, nor the significance of the triangle or loops, or what LARGE means.

Answer 1

Until the table is provided, only a general answer can be given. Let's suppose that one loop is the set of objects with property A, and the second loop that with property B. Forgetting about the triangle for a moment, the intersection of the loops is the set of objects with properties A and B. Now, introduce the triangle. By itself it represents the set of objects with property C. But because it's within the intersection of the loops, C is a subset of the set of objects with properties A and B. As a subset it can only contain objects with properties A and B and it does not contain all such objects. In fact, the area outside the triangle but within the intersection of the two loops represents the set of objects with properties A and B but excludes those contained by the triangle. The Venn diagram contains 4 regions:

1. A objects only
2. B objects only
3. A and B but not C
4. A, B and C objects

Let's use an example. A objects are red; B objects are square; C objects are striped.

The 4 regions are:

1. Red objects that are neither square nor striped
2. Square objects that are neither red nor striped
3. Square red objects that are not striped
4. Square striped red objects

The loops can be labelled RED and SQUARE and the triangle can be labelled STRIPED.

By substituting other properties for red, square, striped, the diagram can be used to solve sorting problems.

Let's substitute LARGE for striped. The triangle represents large objects. Both loops contain some large objects. The 4 regions become:

1. Small red objects that are not square
2. Small square objects that are not red
3. Small red square objects
4. Large red square objects.

The loops can be labelled RED and SQUARE, and the triangle can be labelled LARGE.