1. Venn Diagrams Warm-up 1.Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five students are in both classes, how many students are in neither class? 2.How many are in either class? 3.What is the probability that a randomly-chosen student from this group is taking only the Chemistry class? Learning Objective: to use venn diagrams to evaluate sets of data.

2. Notes English Chemistry -14 -29 5 9 24 2 Sets - A collection of objects Order does not matter Members also called elements Useful to separate sets of objects (for counting)

3. Universal Set - Union of all elements in the set Symbol - Intersection of Sets - elements in both sets Symbol - Empty Set - Contains no members, or elements Universe - U A B A B Union Intersection

4. A B Empty Set Complement of a Set - elements not in the set Symbol - A B U “not in set A” A B U “not in set B” A B U

5. Ex 1 - Find the number of elements in each of the indicated sets A - English B -Chemistry -14 -29 5 9 24 2 14 29 40 26 11 5 38 9 2 35 2 24

6. HW – wksht Summary – I think Venn diagrams are easy (or hard) because… Out – none Don’t forget about POW!! Applicationsof logs quiztomorrow!!