This document contains math word problems and questions about sets. It asks the reader to determine if sets are well-defined, specify sets by description, solve problems about surveys involving sets and probabilities, list members of sets using set operations like union and intersection, and draw Venn diagrams for set relationships. It contains 20 short questions or problems for the reader to work through.

1. 1.Tell whether the set is well defined.
This set is well defined. This set is not well defined.
2.
Specify the set by description.
14.Montgomery College has a 65-piece band and a 39-piece orchestra.  If 15 people are
members of both the band and the orchestra, can the band and orchestra travel in two 45-
passenger buses? Yes No
15.From a survey of 100 college students, a marketing research company found that 75 students
owned iPods, 35 owned cars, and 25 owned both cars and iPods.
(a) How many students owned either a car or an iPod (but not both)?
students
(b) How many students do not own either a car or an iPod?
students
16.In a survey of a TriDelt chapter with 50 members, 23 were taking mathematics, 31 were
taking English, and 8 were taking both. How many were not taking either of these subjects?
members
17.Let U = {6, 7, 8, 9, 10, 11, 12}, A = {6, 7, 8, 9}, B = {6, 7, 10, 11}, and C = {8, 10, 12}. List
all the members of the given set. (Enter your answers as a comma-separated list.)
( A ? B ) ? C
18. Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}. List all the
members of the given set. (Enter your answers as a comma-separated list.)
A ? ( B ? C )
19.Draw a Venn diagram for the relationship.
A ? B
20. Draw a Venn diagram for the relationship.
A ? B ? C

2. Solution
1. the set is not well defined
2.non negativepowers of 9 in ascending order
3.