MATH 109C East Tennessee State University College Algebra Equations

I need help with homework just need help solving the equation don’t understand the con

9/3/2020
Homework 2.4 & 2.5-Lee Emanuel
Student:
Date:
Instructor: Lee Emanuel
Course: Math 109c Fall 2020 (1)
Emanuel
Assignment: Homework 2.4 & 2.5
1. Use the Venn diagram shown to answer the question below.
List the regions that represent set B.
(Type your answer using Roman numerals. Use a comma to
separate answers as needed.)
II
III
V
IV
VI
VII
VIII
Which regions represent set B?
2. Use the Venn diagram shown to answer the question below.
List the regions that represent the set AUB.
U
A
B
II
(Type your answer using Roman numerals. Use a comma to
separate answers as needed.)
I
III
IV
VI
VII
VIII
Which regions represent set A UB?
3. Use the Venn diagram shown to answer the question below.
List the regions that represent the set An B.
U
B
II
I
III
(Type your answer using Roman numerals. Use a comma to
separate answers as needed.)
V
IV
VI
VII
VIII
Which regions represent set An B?
Homework 2.4 & 2.5-Lee Emanuel
enn diagram shown to answer the question below. List the regions that represent set A’.
U
(Type your answer using Roman numerals. Use a comma to
separate answers as needed.)
II
III
IV
VI
VII
VIII
Which regions represent set A’?
Use the Venn diagram shown to the right to list the set C in
roster form.
U
B
2
3
6
7
4
8
12
10
14
11
15
18
C={
(Use a comma to separate answers as needed. Use ascending order.)
6. Use the Venn diagram shown to list the set AUB in roster
form.
AUB = {
(Use ascending order. Use a comma to separate answers as
needed. Type each answer only once.)
U
B
2
3
6
7
4
8
12
10
11
13
14
18
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9/3/2020
Homework 2.4 & 2.5-Lee Emanuel
7. Use the Venn diagram shown to the right to list the set
U
An B in roster form.
B
1
4
7
6
5
9
10
12
14
11
16
20
C
ANB= {
(Use a comma to separate answers as needed. Use ascending order.)
8. Use the Venn diagram shown to list the set AnBn C in
roster form.
AnBnC= {
(Use a comma to separate answers as needed.)
U
A
B
2
4
6
8
5
9
14
13
15
16
18
19
9. Use the Venn diagram shown to the right to determine whether the given sets are equal
for all sets A and B.
A’UB and A’ns
B
U
M
Are the sets A’UB and A’nB equal for all sets A and B?
O A. They are not equal for all sets A and B because they represent the empty set.
OB. They are not equal for all sets A and B because they represent different regions.
O C. They are equal for all sets A and B because they represent the complement of each other.
O D. They are equal for all sets A and B because they represent the same regions.
B
III
VI
Homework 2.4 & 2.5-Lee Emanuel
9/3/2020
14. The accompanying Venn diagram shows the number of
elements in region V. Use the given cardinalities to
A
II
determine the number of elements in each of the other
seven regions.
n(U) = 44, n(A) = 25, n(B) = 23,
V
IV
n(C) = 26, n(ACB) = 11,
7
n(ANC) = 15, n(BOC) = 16
VII
There are
elements in region I.
There are
elements in region II.
There are
elements in region III.
There are
elements in region IV.
There are
elements in region VI.
There are
elements in region VII.
There are
elements in region VIII.
VIII
U A
B
15. Use the Venn diagram and the given conditions to determine the number of elements in each
region, or explain why the conditions are impossible to meet.
n(U) = 44, n(A) = 24, n(B) = 17, n(C)= 26, n(A n B)=8, n(An C) = 14, n(B n C) = 15,
n(A nBn C) = 7
I
II
III
V
IV
VI
VII
VIII
First decide whether or not the conditions are possible to meet. Select the correct choice below and fill in the answer
box(es) within your choice.
O A. The number of elements in regions I, II, III, IV, V, VI, VII, VIII are
, respectively.
O B. It is impossible to meet the conditions because there are only
elements in set
A but there are
elements in set A that are also in set B or C. A similar
problem exists for set C. (Simplify your answers.)
O C. It is impossible to meet the conditions because there are only
elements in set
B but there are
elements in set B that are also in set A or C. A similar
problem exists for set C. (Simplify your answers.)
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9/3/2020
Homework 2.4 & 2.5-Lee Emanuel
10.
Use the symbols A, B, U, n, and’, as
necessary, to describe the shaded region.
U
B
Choose the correct set below.
O A. A’nB
O B. (A n B)’
C. AUB’
O D. AnB
U
11. Use the given Venn diagram, which shows the number of elements in regions !
through IV to answer the following question.
B
How many elements belong to set A?
I
11
11
21
7
IV
17
elements that belong to set A.
There are
(Simplify your answer.)
12.
U
A
B
Use the given Venn diagram, which shows
the number of elements in regions I through
IV to answer the following question. How
many elements belong to set A or set B?
I
III
29
23
5
6 IV
The number of elements in A or B is
13. Use the Venn Diagram to the right, which shows the
cardinality of each region, to answer the question below.
U
B
4
9
1
Considering sets A, B, and C, how many elements belong to
exactly one of these sets?
6
3
7.
2
C с
5
Considering sets A, B, and C, there are
elements that belong to exactly one of these sets.
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