5.11 – Venn Diagrams A Venn diagram can be used to show the relationship when working with sets. Given two sets, A and B, the set of common elements is called the ________________ of A and B, and is written as 𝐴 ____ 𝐵. Intersection of Sets 𝐴∩𝐵 Practice: Using a Venn Diagram to Solve a Counting Problem Suppose a survey of 100 Grade 12 math students in a local high school produced the following results: Math Course Taken Advanced Functions and Introductory Calculus (AFIC) Geometry and Discrete Math Data Management Geometry and Discrete Math and AFIC Geometry and Discrete Math and Data Management Data Management and AFIC All three courses Number of Students 80 33 68 30 6 50 5 How many students are enrolled in AFIC and in other mathematics course? How many students are enrolled in AFIC? Or Data Management? Complete the diagram to answer these questions. Additive Principle for Unions of Two Sets Given two sets, A and B, the number of elements Student Success Criteria: I can: Explain the difference between the terms sequence and series Explain the difference between an arithmetic sequence and a geometric sequence Determine the nth term of an arithmetic sequence by applying the correct formula Manipulate the arithmetic sequence formula to determine the difference, d, the number of terms, n, or a particular term un depending on the information given. Homework: Arithmetic Sequences and Series Worksheet