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mathematics
survey of mathematics

Questions and Answers of Survey of Mathematics

The Greens are moving to Athens, GA. Their real estate agent located 77 houses listed for sale, in the Ath-ens area, in their price range. Of these houses listed for sale,47 had a finished
State whether each statement is true or false. If false, give a reason.maple ∈ {oak. elm maple sycamore}
The expression for determining the number of distinct subsets for a set with n distinct elements is _____________.Fill in the blank with an appropriate word, phrase, or symbol(s).
Complete De Morgan’s laws:(a) (A ∪ B)' = ______(b) (A ∩ B)' = ________Fill in the blank with an appropriate word, phrase, or symbol(s).
State whether each statement is true or false. If the statement is false, explain why.{3, 5, 9, h} = {9, 5, 3, j}
During the fall festival at Wambach’s Farmer’s market, 200 customers made the following purchases.109 purchased pumpkins.98 purchased pies.61 purchased both pumpkins and pies.Of those
The set of the three best baseball players is a well-defined set.State whether each statement is true or false. If false, give a reason.
If all the elements of set A are also elements of set B,and set A ≠ set B, then set A is a(n) ________ subset of set B.Fill in the blank with an appropriate word, phrase, or symbol(s).
(a) When constructing a Venn diagram with three overlap-ping sets, region _________ is generally completed first. V(b) When constructing a Venn diagram with three overlap-ping sets, after completing
State whether each statement is true or false. If the statement is false, explain why.{2, y, Δ, $} is equivalent to {t, #, 6, ΢}
Dunkin Donuts collected the following information regarding purchases from 100 of its customers.65 purchased coffee.41 purchased donuts.22 purchased both coffee and donuts.Of those surveyed,(a) How
The set of colleges located in the state of Pennsylvania is a well-defined set.State whether each statement is true or false. If false, give a reason.
If all the elements of set A are also elements of set B,then set A is a(n) __________ of set B.Fill in the blank with an appropriate word, phrase, or symbol(s).
The number of regions created when constructing a Venn diagram with three overlapping sets is _________.Fill in the blank with an appropriate word, phrase, or symbol(s).
Describe the following sets.A' ∪ C'
Describe the following sets.A ∪ B ∪ C
Describe the following sets.A ∩ B ∩ C
Describe the following sets.B' ∩ C
Describe the following sets.A ∩ B
Describe the following sets.A ∪ C
U is the set of cities in the United States.A is the set of cities that have a professional sports team.B is the set of cities that have a symphony.Describe each of the following sets in wordsA ∪ B'
U is the set of cities in the United States.A is the set of cities that have a professional sports team.B is the set of cities that have a symphony.Describe each of the following sets in wordsA ∩ B'
U is the set of cities in the United States.A is the set of cities that have a professional sports team.B is the set of cities that have a symphony.Describe each of the following sets in wordsA ∩ B
U is the set of cities in the United States.A is the set of cities that have a professional sports team.B is the set of cities that have a symphony.Describe each of the following sets in wordsA ∪ B
U is the set of cities in the United States.A is the set of cities that have a professional sports team.B is the set of cities that have a symphony.Describe each of the following sets in wordsB'
U is the set of cities in the United States.A is the set of cities that have a professional sports team.B is the set of cities that have a symphony.Describe each of the following sets in wordsA'
Let U represent the set of animals in U.S. zoos. Let A represent the set of animals in the San Diego zoo. Describe A'. SANDIEGO San Diego Zoo
Let U represent the set of retail stores in the United States. Let A represent the set of retail stores that sell children’s clothing. Describe A'.
The table on the top of the next page shows the 2013 NASCAR Sprint Cup Final Standings. The table shows the 12 drivers having the highest point total and the number of Sprint Cup races they won. Let
The table below shows the annual sales revenue and net income, in millions of dollars, for Facebook for the years 2009€“2013. Let the years in the table represent the universal set.Let A =
For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.U = {Acadia, Badlands, Death Valley, Glacier, Mammoth Cave, Mount Rainier, North Cascades, Shenandoah,
For the sets U, A, and B,construct a Venn diagram and place the elements in the proper regions.U = {Desire, Fire, Galaxy S5, iPhone, Lumia, Nexus, One, Xperia}A = {Desire, Galaxy S5, iPhone, One,
For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.U = {a, b, c, d, e, f, g, h, i, j, k}A = {a, b, e, f, h, j}B = {b, c, d, f, j}
For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions. U = {1, 2, 3, 4, 5, 6, 7, 8}A = {1, 6, 8}B = {2, 4, 6, 7, 8}
For the sets U, A, and B, construct a Venn diagram and place the elements in the proper regions.U = {a, b, c, d, e, f}A = {a, c}B = {b, e, f}
Set A and set B are overlapping sets.Use Fig. 2.2 as a guide to draw a Venn diagram that illustrates the situation described. B' (a) (b) A в (c) (d)
Use Fig. as a guide to draw a Venn diagram that illustrates the situation described.A = B B' (a) (b) A в (c) (d)
UseFig. 2.2as a guide to draw a Venn diagram that illustrates the situation described.B Š‚ A B' (a) (b) A в (c) (d)
A Š‚ BUse Fig. 2.2 as a guide to draw a Venn diagram that illustrates the situation described. B' (a) (b) A в (c) (d)
Set A and set Bare disjoint sets.Use Fig. 2.2 as a guide to draw a Venn diagram that illustrates the situation described. B' (a) (b) A в (c) (d)
In a Venn diagram with two overlapping sets there are __________ regions.Fill in the blank with an appropriate word, phrase, or symbol(s).
If set A has m elements and set B has n elements, the Cartesian product A x B has ________ elements.Fill in the blank with an appropriate word, phrase, or symbol(s).
Two sets with no elements in common are called ________ sets.Fill in the blank with an appropriate word, phrase, or symbol(s).
The set of all possible ordered pairs of the form (a, b), where a ∈ A and b ∈ B, is called _______ the product of set A and set B.Fill in the blank with an appropriate word, phrase, or symbol(s).
The set of elements that belong to set A,but not to set B, is called the _________ of two sets A and B.Fill in the blank with an appropriate word, phrase, or symbol(s).
The set containing all the elements that are common to both set A and set Bis called ________ the of set A and set B.Fill in the blank with an appropriate word, phrase, or symbol(s).
The set containing all the elements that are members of set A or of set B or of both sets is called the _____________ of set A and set B.Fill in the blank with an appropriate word, phrase, or
The set of all the elements in the universal set that are not in set A is called the _________ of set A.Fill in the blank with an appropriate word, phrase, or symbol(s).
There are a number of paradoxes (a statement that appears to be true and false at the same time) associated with infinite sets and the concept of infinity. One of these, called Zeno’s Paradox, is
Insert the symbol < , > 7, or = in the shaded area to make a true statement. n(N) No
Insert the symbol < , > 7, or = in the shaded area to make a true statement. No + 5 No + 3
Insert the symbol < , > 7, or = in the shaded area to make a true statement. 28 א0א2
Insert the symbol < , > 7, or = in the shaded area to make a true statement. 0א 0R0א
Insert the symbol < , > 7, or = in the shaded area to make a true statement. No 8o + 8o
Show that the set has cardinality X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set.{1/3, 1/6, 1/12, 1/24, 1/48, . . . }
Show that the set has cardinality X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set.{3, 9, 27, 81, 243, . . .}
Show that the set has cardinality X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set.{2, 4, 8, 16, 32, . . .}
Show that the set has cardinality X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set.{1, 4, 9, 16, 25, . . . }
Show that the set has cardinal number : X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number: X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number: X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number: X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number: X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number: X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number : X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number : X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number : X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set has cardinal number: X0 by establishing a one-to-one correspondence between the set of counting numbers and the given set. Be sure to show the pairing of the general terms in
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{6/13, 7/13, 8/13, 9/13, 10/13,
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{4/11, 5/11, 6/11, 7/11, 8/11,
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{1, 1/2, 1/3, 1/4, 1/5, . . .}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{1/2, 1/4, 1/6, 1/8, 1/10, ,. .
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{5, 9, 13, 17, 21, . . .}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{5, 7, 9, 11, 13, . . .}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{10, 12, 14, 16, 18, . . . }
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{3, 5, 7, 9, 11, . . . }
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{20, 21, 22, 23, 24, . . .}
Show that the set is infinite by placing it in a one-to-one correspondence with a proper subset of itself. Be sure to show the pairing of the general terms in the sets.{2, 3, 4, 5, 6, . . . }
A set that is finite or can be placed in a one-to-one correspondence with the set of counting numbers is called a(n) ___________ set.Fill in the blank with an appropriate word, phrase, or symbol(s).
A set that can be placed in a one-to-one correspondence with a proper subset of itself is called a(n) _____________ set.Fill in the blank with an appropriate word, phrase, or symbol(s).
J. K. Rowling has written 7 Harry Potter books.Determine whether the number used is a cardinal number or an ordinal number.
Consider sets A and B belowA = {x|2 < x ≤ 5 and x ∈ N}andB = {x|2 < x ≤ 5}(a) Write a description of set A and set B.(b) Explain the difference between set A and set B.(c)
Set-builder notation is often more versatile and efficient than listing a set in roster form. This versatility is illustrated with the following two sets. A = {x|x ∈ N and x > 2}B = {x|x
A is the set of states.B is the set of state capitals.Determine whether the pairs of sets are equal, equivalent, both, or neither.
A is the set of letters in the word bank.B is the set of letters in the word postDetermine whether the pairs of sets are equal, equivalent, both, or neither.
A is the set of Siamese cats.B is the set of catsDetermine whether the pairs of sets are equal, equivalent, both, or neither.
A = {grapes, apples, oranges}B = {grapes peaches, apples, oranges}Determine whether the pairs of sets are equal, equivalent, both, or neither.
A = {purple, green, yellow}B = {q, r, s}Determine whether the pairs of sets are equal, equivalent, both, or neither.
A = {lion, tiger, monkey}B = {tiger, monkey, lion}Determine whether the pairs of sets are equal, equivalent, both, or neither.
Determine n(D).Use the sets A = {2, 4, 6, 8}, B = {1, 3, 7, 9, 13, 21}, C = { } and D={#, &, %, ΢,*}
Determine n(C).Use the sets A = {2, 4, 6, 8}, B = {1, 3, 7, 9, 13, 21}, C = { } and D={#, &, %, ΢,*}
Determine n(B).Use the sets A = {2, 4, 6, 8}, B = {1, 3, 7, 9, 13, 21}, C = { } and D={#, &, %, ΢,*}
Determine n(A).Use the sets A = {2, 4, 6, 8}, B = {1, 3, 7, 9, 13, 21}, C = { } and D={#, &, %, ΢,*}
State whether each statement is true or false. If false, give the reason.2 ∈ {x|x is an odd natural number}
State whether each statement is true or false. If false, give the reason.9 ∈ {1, 3, 5, 7, . . . }
State whether each statement is true or false. If false, give the reason.Amazon ∈ {rivers in the United States}
State whether each statement is true or false. If false, give the reason.3 ∉ {x|x є N and x is odd}
State whether each statement is true or false. If false, give the reason.Mickey Mouse ∈ {characters created by Walt Disney}
State whether each statement is true or false. If false, give the reason.h ∈ {a, b, c, d, e, f}
State whether each statement is true or false. If false, give the reason.b ∈ {a, b, c, d, e, f}

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