# MA.912.D.7.2 Venn Diagrams

## Rationals-Discrete

Extension 1-8 Pages 61-62

## What You Need To Know...

Use Venn diagrams to explore relationships and patterns.

1. The benchmark will be assessed using MC (Multiple Choice) and FR (Fill in Response).
2. Items may include set notation and symbols from set theory.
3. Items should contain no more than a total of 15 ordered data points.
4. Notation for the complement of set A will be limited to A' and ~A.
5. Students may be required to make arguments about relationships between sets.

## Example One

The universal set contains only R, S, and T.  These sets are related as shown in the Venn diagram below.

Which set represents   ?

A.  {d, e, f, j}
B.  {d, j, k, m, n}
C.  {d, e, f, j, k, m, n}
D.  {d, e, f, g, j, k, m, n}

## Example Two

The Venn diagram below shows the number of students who chose to participate in each of the three sports offered at Sports Camp.

Based on the diagram, which is the total number of students who did NOT participate in volleyball?