Question 1

Use set notation, and list all the elements of the set.
-{82, 77, 72, . . ., 32}
A) {82, 77, 72, 67, 62, 57, 52, 47, 42, 37, 32}
B) {82, 77, 72, 66, 61, 56, 51, 46, 41, 36, 31}
C) {82, 77, 72, 62, 52, 42, 32}
D) {82, 87, 92, 97, 102, 107, 112, 117, 122, 127, 132}

Accepted Answer

The pattern in the set decreases by 5 starting from 82 down to 32, so the correct sequence is {82, 77, 72, 67, 62, 57, 52, 47, 42, 37, 32}.

Question 2

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-

A) $\notin$
B) $\in$

Accepted Answer

B

Question 3

Identify the set as finite or infinite.
-{3, 5, 7, . . .}
A) finite
B) infinite

Accepted Answer

The set is infinite because it starts at 3 and increases indefinitely by 2 (indicating an infinite sequence of odd numbers).

Question 4

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-

A) $\in$
B) $\notin$

Accepted Answer

The answer of Insert \(\in \mathbf { O r }...

Question 5

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-
A) $\in$
B) $\notin$

Accepted Answer

The answer of Insert \(\in \mathbf { O r }...

Question 6

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-
A) $\in$
B) $\notin$

Accepted Answer

The answer of Insert \(\in \mathbf { O r }...

Question 7

Use set notation, and list all the elements of the set.
-$$\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \ldots , \frac { 1 } { 243 } \right\}$$
A) $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 5 } , \frac { 1 } { 6 } , \frac { 1 } { 7 } , \frac { 1 } { 8 } \right\}$
B) $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \frac { 1 } { 729 } , \frac { 1 } { 19,683 } \right\}$
C) $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \frac { 1 } { 243 } \right\}$
D) $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \frac { 1 } { 81 } , \frac { 1 } { 243 } \right\}$

Accepted Answer

The set consists of elements that are powers of 3 in the denominator, starting from $3^0 = 1$ to $3^5 = 243$, which matches the sequence in option D.

Question 8

Use set notation, and list all the elements of the set.
-{15, 22, 29, . . ., 64}
A) {15, 22, 29, 36, 43, 50, 57, 64}
B) {15, 22, 28, 35, 42, 49, 56, 63}
C) {15, 22, 29, 37, 44, 51, 58, 65}
D) {15, 22, 29, 36, 43}

Accepted Answer

The set starts at 15 and increases by 7 each time (22 - 15 = 7, 29 - 22 = 7, etc.), continuing until it reaches 64. This pattern is correctly represented in option A.

Question 9

Identify the set as finite or infinite.
-{6, 7, 8, . . ., 11}
A) finite
B) infinite

Accepted Answer

The set {6, 7, 8, . . ., 11} is finite because it has a clear beginning and end, containing only the integers from 6 through 11.

Question 10

Use set notation, and list all the elements of the set.
-{19, 20, 21, . . . , 25}
A) {19, 20, 22, 24, 25}
B) {19, 21, 23, 25}
C) {19, 20, 21, 22, 23, 24, 25}
D) {19, 20, 21, 22, 23, 24, 25, 26}

Accepted Answer

The correct set notation that lists all the elements from 19 to 25 inclusively is {19, 20, 21, 22, 23, 24, 25}, which matches option C.

Question 11

Identify the set as finite or infinite.
-$\{ x \mid x \text { is a fraction between } 0 \text { and } 1 \}$
A) finite
B) infinite

Accepted Answer

The set of fractions between 0 and 1 is infinite because for any two fractions, you can always find another fraction between them.

Question 12

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-
A) $\in$
B) $\notin$

Accepted Answer

The answer of Insert \(\in \mathbf { O r }...

Question 13

Identify the set as finite or infinite.
-$\{ \mathrm { x } \mid \mathrm { x } \text { is an even natural number } \}$
A) finite
B) infinite

Accepted Answer

The set of even natural numbers is infinite because there is no largest even natural number; you can always add 2 to get another even natural number.

Question 14

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-

A) $\notin$
B) $\in$

Accepted Answer

The answer of Insert \(\in \mathbf { O r }...

Question 15

Identify the set as finite or infinite.
-$\{ x \mid x \text { is a person alive now } \}$
A) infinite
B) finite

Accepted Answer

The set of all people alive now is finite because there is a countable number of people existing at any given moment.

Question 16

Use set notation, and list all the elements of the set.
-The first four natural numbers.
A) {0, 2, 4, 6}
B) {1, 2, 3, 4}
C) {0, 1, 2, 3}
D) {0, 1, 2, 3, 4}

Accepted Answer

The first four natural numbers are 1, 2, 3, and 4, as natural numbers start from 1.

Question 17

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true.
-
A)$  \notin$
B) $\in$

Accepted Answer

The answer of Insert \(\in \mathbf { O r }...

Question 18

Identify the set as finite or infinite.
-$$\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots , \right\}$$
A) infinite
B) finite

Accepted Answer

The set is infinite because it follows a pattern of dividing by 3 each time, which can continue indefinitely without reaching an end.

Question 19

Use set notation, and list all the elements of the set.
-The natural numbers between 3 and 5.
A) {3, 5}
B) {4}
C) {3, 4, 5}
D) {0, 1, 2, 3}

Accepted Answer

The natural numbers between 3 and 5 are 4, as natural numbers include all positive integers starting from 1.

Question 20

Identify the set as finite or infinite.
-$\{ x \mid x \text { is a natural number larger than } 1 \}$
A) infinite
B) finite

Accepted Answer

The set includes all natural numbers greater than 1, which is an infinite set because there is no largest natural number.

Quiz 1: Review of Basic Concepts

Use set notation, and list all the elements of the set. -{82, 77, 72, . . ., 32}

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \notin B) \in$

Identify the set as finite or infinite. -{3, 5, 7, . . .}

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Use set notation, and list all the elements of the set. - $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \ldots , \frac { 1 } { 243 } \right\}$

Use set notation, and list all the elements of the set. -{15, 22, 29, . . ., 64}

Identify the set as finite or infinite. -{6, 7, 8, . . ., 11}

Use set notation, and list all the elements of the set. -{19, 20, 21, . . . , 25}

Identify the set as finite or infinite. - $\{ x \mid x \text { is a fraction between } 0 \text { and } 1 \}$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Identify the set as finite or infinite. - $\{ \mathrm { x } \mid \mathrm { x } \text { is an even natural number } \}$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \notin B) \in$

Identify the set as finite or infinite. - $\{ x \mid x \text { is a person alive now } \}$

Use set notation, and list all the elements of the set. -The first four natural numbers.

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \notin B) \in$

Identify the set as finite or infinite. - $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots , \right\}$

Use set notation, and list all the elements of the set. -The natural numbers between 3 and 5.

Identify the set as finite or infinite. - $\{ x \mid x \text { is a natural number larger than } 1 \}$

Quiz 1: Review of Basic Concepts

Use set notation, and list all the elements of the set. -{82, 77, 72, . . ., 32}

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Identify the set as finite or infinite. -{3, 5, 7, . . .}

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Use set notation, and list all the elements of the set. - {1,13,19,…,1243}\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \ldots , \frac { 1 } { 243 } \right\}{1,31​,91​,…,2431​}

Use set notation, and list all the elements of the set. -{15, 22, 29, . . ., 64}

Identify the set as finite or infinite. -{6, 7, 8, . . ., 11}

Use set notation, and list all the elements of the set. -{19, 20, 21, . . . , 25}

Identify the set as finite or infinite. - {x∣x is a fraction between 0 and 1}\{ x \mid x \text { is a fraction between } 0 \text { and } 1 \}{x∣x is a fraction between 0 and 1}

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Identify the set as finite or infinite. - {x∣x is an even natural number }\{ \mathrm { x } \mid \mathrm { x } \text { is an even natural number } \}{x∣x is an even natural number }

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Identify the set as finite or infinite. - {x∣x is a person alive now }\{ x \mid x \text { is a person alive now } \}{x∣x is a person alive now }

Use set notation, and list all the elements of the set. -The first four natural numbers.

Insert ∈Or∉\in \mathbf { O r } \notin∈Or∈/ in the blank to make the statement is true. -

Identify the set as finite or infinite. - {1,13,19,127,…,}\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots , \right\}{1,31​,91​,271​,…,}

Use set notation, and list all the elements of the set. -The natural numbers between 3 and 5.

Identify the set as finite or infinite. - {x∣x is a natural number larger than 1}\{ x \mid x \text { is a natural number larger than } 1 \}{x∣x is a natural number larger than 1}

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \notin B) \in$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Use set notation, and list all the elements of the set. - $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \ldots , \frac { 1 } { 243 } \right\}$

Identify the set as finite or infinite. - $\{ x \mid x \text { is a fraction between } 0 \text { and } 1 \}$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \in B) \notin$

Identify the set as finite or infinite. - $\{ \mathrm { x } \mid \mathrm { x } \text { is an even natural number } \}$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \notin B) \in$

Identify the set as finite or infinite. - $\{ x \mid x \text { is a person alive now } \}$

Insert $\in \mathbf { O r } \notin$ in the blank to make the statement is true. - $Insert \in \mathbf { O r } \notin in the blank to make the statement is true. - A) \notin B) \in$

Identify the set as finite or infinite. - $\left\{ 1 , \frac { 1 } { 3 } , \frac { 1 } { 9 } , \frac { 1 } { 27 } , \ldots , \right\}$

Identify the set as finite or infinite. - $\{ x \mid x \text { is a natural number larger than } 1 \}$