Question 1

In a sample of defective tires, 72 have defects in materials, 95 have defects in workmanship, and 23 have defects of both types. How many tires are in the sample? 
__________ tires

Accepted Answer

The answer of In a sample of defective tires, 72...

Question 2

Use set notation to identify the shaded portion of the Venn diagram.

Accepted Answer

The answer of Use set notation to identify the shaded...

Question 3

In a sample of defective cars, 62 have defects in materials, 119 have defects in workmanship, and 29 have defects of both types. How many cars are in the sample? 
__________ cars

Accepted Answer

The answer of In a sample of defective cars, 62...

Question 4

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,7 \} \
C = \{ 2,5,6,7,10 \}
\end{array}$ List all the members of the set. $A \cap ( \bar { B } \cup C )$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 5

Use set notation to identify the shaded portion of the Venn diagram.

Accepted Answer

The answer of Use set notation to identify the shaded...

Question 6

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,7 \} \
C = \{ 2,5,6,7,10 \}
\end{array}$ List all the members of the set. $A \cup ( B \cap C )$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 7

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 3,5 \} \
C = \{ 2,3,4,5,10 \}
\end{array}$$ List all the members of the set. $ \overline{A \cap B ) \cap C }$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 8

Santa Rosa Junior College enrolled 29,000 students in the fall of 2010. It was reported that of that number, 58% were female and 42% were male. In addition, 62% were over the age of 25. How many students were there in each category?
A) males: 16,720; females: 12,280; over age 25: 10,800
B) males: 16,820; females: 12,180; over age 25: 17,980
C) males: 16,820; females: 12,180; over age 25: 11,020
D) males: 12,180; females: 16,820; over age 25: 17,980
E) males: 16,720; females: 16,820; over age 25: 11,020

Accepted Answer

To find the number of students in each category, calculate the percentages of the total enrollment (29,000 students). For females: 58% of 29,000 = 0.58 * 29,000 = 16,820. For males: 42% of 29,000 = 0.42 * 29,000 = 12,180. For students over the age of 25: 62% of 29,000 = 0.62 * 29,000 = 17,980.

Question 9

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,7 \} \
C = \{ 2,5,6,7,10 \}
\end{array}$$ List all the members of the set. $$A \cap \overline { B \cup C }$$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 10

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 7,9 \} \
C = \{ 2,7,8,9,10 \}
\end{array}$ List all the members of the set. $A \cap ( B \cap \bar { C } )$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 11

Use set notation to identify the shaded portion of the Venn diagram.

Accepted Answer

The answer of Use set notation to identify the shaded...

Question 12

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,9 \} \
C = \{ 2,5,6,9,10 \}
\end{array}$ List all the members of the set. $( A \cap B ) \cap C$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 13

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 7,9 \} \
C = \{ 2,7,8,9,10 \}
\end{array}$ List all the members of the set. $\bar { A } \cup ( B \cap C )$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 14

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 3,7 \} \
C = \{ 2,3,6,7,10 \}
\end{array}$$ List all the members of the set. $\overline{ A \cup B ) \cup C }$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 15

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 7,9 \} \
C = \{ 2,7,8,9,10 \}
\end{array}$ List all the members of the set. $( A \cup B ) \cup C$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 16

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,9 \} \
C = \{ 2,5,6,9,10 \}
\end{array}$$ List all the members of the set. $\overline{A \cap ( B \cup C}$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 17

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 5,9 \} \
C = \{ 2,5,8,9,10 \}
\end{array}$$ List all the members of the set. $$\overline { A \cap B } \cup C$$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 18

Let $$\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 3,7 \} \
C = \{ 2,3,6,7,10 \}
\end{array}$$ List all the members of the set. $\overline{A \cup ( B \cap C}$

Accepted Answer

The answer of Let \[\begin{array} { l } 
U =...

Question 19

Let $\begin{array} { l } 
U = \{ 1,2,3,4,5,6,7,8,9,10 \} \
A = \{ 2,4,6,8 \} \
B = \{ 7,9 \} \
C = \{ 2,7,8,9,10 \}
\end{array}$ List all the members of the set. $\bar { A } \cap ( B \cup C )$

Accepted Answer

The answer of Let \(\begin{array} { l } 
U =...

Question 20

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

Accepted Answer

The answer of Draw a Venn diagram: the intersection of...

Quiz 8: Sets and Logic

In a sample of defective tires, 72 have defects in materials, 95 have defects in workmanship, and 23 have defects of both types. How many tires are in the sample? __________ tires

Use set notation to identify the shaded portion of the Venn diagram.

In a sample of defective cars, 62 have defects in materials, 119 have defects in workmanship, and 29 have defects of both types. How many cars are in the sample? __________ cars

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 5,7 \} \\C = \{ 2,5,6,7,10 \}\end{array}$ List all the members of the set. $A \cap ( \bar { B } \cup C )$

Use set notation to identify the shaded portion of the Venn diagram.

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 5,7 \} \\C = \{ 2,5,6,7,10 \}\end{array}$ List all the members of the set. $A \cup ( B \cap C )$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 3,5 \} \\C = \{ 2,3,4,5,10 \}\end{array}$ List all the members of the set. $\overline{A \cap B ) \cap C }$

Santa Rosa Junior College enrolled 29,000 students in the fall of 2010. It was reported that of that number, 58% were female and 42% were male. In addition, 62% were over the age of 25. How many students were there in each category?

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 5,7 \} \\C = \{ 2,5,6,7,10 \}\end{array}$ List all the members of the set. $A \cap \overline { B \cup C }$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 7,9 \} \\C = \{ 2,7,8,9,10 \}\end{array}$ List all the members of the set. $A \cap ( B \cap \bar { C } )$

Use set notation to identify the shaded portion of the Venn diagram.

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 5,9 \} \\C = \{ 2,5,6,9,10 \}\end{array}$ List all the members of the set. $( A \cap B ) \cap C$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 7,9 \} \\C = \{ 2,7,8,9,10 \}\end{array}$ List all the members of the set. $\bar { A } \cup ( B \cap C )$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 3,7 \} \\C = \{ 2,3,6,7,10 \}\end{array}$ List all the members of the set. $\overline{ A \cup B ) \cup C }$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 7,9 \} \\C = \{ 2,7,8,9,10 \}\end{array}$ List all the members of the set. $( A \cup B ) \cup C$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 5,9 \} \\C = \{ 2,5,6,9,10 \}\end{array}$ List all the members of the set. $\overline{A \cap ( B \cup C}$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 5,9 \} \\C = \{ 2,5,8,9,10 \}\end{array}$ List all the members of the set. $\overline { A \cap B } \cup C$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 3,7 \} \\C = \{ 2,3,6,7,10 \}\end{array}$ List all the members of the set. $\overline{A \cup ( B \cap C}$

Let $\begin{array} { l } U = \{ 1,2,3,4,5,6,7,8,9,10 \} \\A = \{ 2,4,6,8 \} \\B = \{ 7,9 \} \\C = \{ 2,7,8,9,10 \}\end{array}$ List all the members of the set. $\bar { A } \cap ( B \cup C )$

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .

Quiz 8: Sets and Logic

In a sample of defective tires, 72 have defects in materials, 95 have defects in workmanship, and 23 have defects of both types. How many tires are in the sample? __________ tires

Use set notation to identify the shaded portion of the Venn diagram.

In a sample of defective cars, 62 have defects in materials, 119 have defects in workmanship, and 29 have defects of both types. How many cars are in the sample? __________ cars

Use set notation to identify the shaded portion of the Venn diagram.

Santa Rosa Junior College enrolled 29,000 students in the fall of 2010. It was reported that of that number, 58% were female and 42% were male. In addition, 62% were over the age of 25. How many students were there in each category?

Use set notation to identify the shaded portion of the Venn diagram.

Draw a Venn diagram: the intersection of the complements of sets AAA and BBB .

Draw a Venn diagram: the intersection of the complements of sets $A$ and $B$ .