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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