AnswersTN-Algebra II B SC 26-27 For CreditSets and Venn Diagrams

Sets and Venn Diagrams Answers

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2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
I
II
I
I and III
I
I, II, and III
I
I, II, III, and IV
2
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The universal set is the set of rational numbers. S is the set of integers.Which represents Sc?

{
{x|x is a real number}
{
{x|x is a rational number}
{
{x|x is a rational positive number}
{
{x|x is a rational non-integer}
3

In the Venn diagram, consider U = {whole numbers 1 – 100}.Let A represent numbers that are perfect squares, B represent numbers that are perfect cubes, and C represent numbers that are perfect fourths, or numbers with a fourth root that is an integer.

Question illustration
1
16, 81
1
1, 16, 81
1
1, 4, 9, 16, 25, 36, 49, 81, 100
1
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
4

The Venn diagram shows three types of numbers: odd (O), even (E), and prime (P).

Question illustration
O
O ⋃ P
E
E ∩ P
O
O ⋃ E
E
E ∩ O
5

If the set U = {all positive integers} and set A = {x|x ∈ U and x is an odd positive integer}, which describes the complement of set A, Ac?

A
Ac = {x|x ∈ U and is a negative integer}
A
Ac = {x|x ∈ U and is zero}
A
Ac = {x|x ∈ U and is not an integer}
A
Ac = {x|x ∈ U and is an even positive integer}
6

Carrie is finding the set of even numbers within the set of prime numbers.Of the sets described, which is the universal set?

a
all real numbers
a
all integers
p
prime numbers
e
even numbers
7

Consider U = {x|x is a real number}.A = {x|x ∈ U and x + 2 > 10}B = {x|x ∈ U and 2x > 10}Which pair of statements is correct?

5
5 ∉ A; 5 ∈ B
6
6 ∈ A; 6 ∉ B
8
8 ∉ A; 8 ∈ B
9
9 ∈ A; 9 ∉ B
8

In the Venn diagram, consider U = {students in 10th grade at Lee High School}.The diagram shows the electives chosen by the students in the 10th grade.

Question illustration
8
8
1
11
1
14
1
17
9

Consider U = {x|x is a negative real number}.Which is an empty set?

A
{x|x ∈ U and x has a negative cube root}
B
{x|x ∈ U and x has a negative square root}
C
{x|x ∈ U and x is equal to the product of a positive number and –1}
D
{x|x ∈ U and x is equal to the sum of one negative and one positive number}
10

The diagram shows the universal set U = {parallelograms}.Set A represents parallelograms with four congruent sides, while B represents parallelograms with four congruent angles.

Question illustration
A
6
B
8
C
18
D
26
11

Which statements are true about x? Select three options.

A
x ∈ B ⋃ C
B
x ∈ B ∩ C
C
x ∈ A ⋃ C
D
x ∈ A ∩ C
E
x ∈ A
12

The Venn diagram shows the number of customers who have purchased different types of pets from a pet store, where C represents customers who have purchased cats, D represents customers who have purchased dogs, and F represents customers who have purchased fish.

Question illustration
A
4
B
6
C
36
D
38
13

2 circles labeled Set A and Set B overlap. Set A contains 1, set B contains 3, and the overlap of the 2 circles contains 2. The number 4 is outside of the circles.

Question illustration
A
II
B
I and III
C
I, II, and III
D
I, II, III, and IV

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Sets and Venn Diagrams

Sets and Venn Diagrams Answers — TN-Algebra II B…