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.

238

24 or 60%

40

Notes

English Chemistry-14 -29

59 24

2

Sets - A collection of objectsOrder does not matterMembers also called elements

Useful to separate sets of objects (for counting)

Universal Set - Union of all elements in the set

Symbol - (A )B

Intersection of Sets - elements in both sets

Symbol - (A )B Empty Set - Contains no members, or elements

(A )B

Universe - U

A B A B

Union Intersection

(A )B

A B

Empty Set

(A )B Complement of a Set - elements not in the set

Symbol - ' or ' A B

A B U

' A “not in set A”

A B U

' B “not in set B” (A ) 'B

A B U

Ex 1 - Find the number of elements in each of the indicated sets

a. A

A - English B -Chemistry-14 -29

59 24

2

14

b. B 29

c. U 40

d. ' A 26

e. ' B 11

f. A B 5

g. A B 38

h. ' A B 9

j. ' 'A B 2

k. 'A B 35

l. 'A B 2

i. 'A B 24

HW – wksht

Summary – I think Venn diagrams are easy (or hard) because…

Out – none

Don’t forget about POW!!

Applications of logs quiz tomorrow!!