Exam 2: Sets

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\text { If } C \subset D \text {, then } C \subseteq D \text {. }$

Use $\subseteq, \nsubseteq, \subset$ , or both $\subset$ and $\subseteq$ to make a true statement. -{All states west of the Rocky Mountains} _____ {All states west of the Atlantic Ocean}

Identify the set as finite or infinite -The set of people watching fireworks at Miller Park on July 4, 2012 at 9:45 P.M.

Express the set in roster form. -{x|x is an integer between -2 and 2}

List all subsets or determine the number of subsets as requested. -List all the subsets of {fox, hen, sheep}.

Determine whether the set is well defined or not well defined. -The set of five countries in Europe having the smallest population

Find n(A) for the set. -A = {x | x is a month in the year}

Solve the problem. -Use the following graph, which shows the sales of digital music players, in millions, at a national Electronics retail store for the years 2005-2012. Use the graph to represent the set in roster form. The set of years included in the graph in which digital music player sales were between 3 million And 5 million.

Determine whether the sets are equal, equivalent, both, or neither. -{1/10, 2/10, 3/10} and {0.1, 0.2, 0.3}

For the given sets, construct a Venn diagram and place the elements in the proper region. -Let U = {c, d, g, h, k, u, q} A = {d, h, g, q} B = {c, d, h, u}

Determine whether the set is well defined or not well defined. -The set of manufacturers of computers that enjoyed sizeable profits in the second quarter of 2012

Let U = {all soda pops}, A = {all diet soda pops}, B = {all cola soda pops}, C = {all soda pops in cans}, and D = {all caffeine-free soda pops}. Describe the set in words. - $\mathrm { A } ^ { \prime } \cap \mathrm { C }$

If the statement is true for all sets C and D, write ʺtrue.ʺ If it is not true for all sets C and D, write ʺfalse.ʺ Assume that $C \not = \varnothing$ ,and $C \subset U$ . - $\text { If } C \subseteq D \text {, then } C \subset D \text {. }$

Let A = {1, 3, 5, 7} B = {5, 6, 7, 8} C = {5, 8} D = {2, 5, 8} U = {1, 2, 3, 4, 5, 6, 7, 8}. Determine whether the statement is true or false. -C ⊂ D

Determine whether the sets are equal, equivalent, both, or neither. -{5, 13} and {51, 3}

Answer the question. -Anna goes to a frozen yogurt shop. She can choose from any of the following toppings: peanuts, Caramel sauce, butterscotch chips, strawberries, and cookie dough bits. How many different Variations of yogurt and toppings can be made?

List all subsets or determine the number of subsets as requested. -List all the subsets of {3}.

For the given sets, construct a Venn diagram and place the elements in the proper region. -Let $\mathrm { U } = \{ \mathrm { a } , \mathrm { d } , \mathrm { i } , \mathrm { g } , \mathrm { m } , \mathrm { k } , \mathrm { t } \}$ =\{,,,\} =\{,,,\}

Solve the problem. -Use the following table, which shows the average price for a new beverage that is served at a Coffee chain. Let the 10 selected regions represent the universal set. Use the list to represent the set In roster form. Region Price \ 7.86 \ 6.85 \ 6.11 \ 5.98 \ 4.73 \ 3.52 \ 3.29 \ 2.78 \ 2.08 \ 1.55 The set of regions in which the average price for the new beverage is between $3.00 and $4.99.

Write a description of the set. -D = {-2, -1, 0, 1, 2, 3, 4, . . .}