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Recent questions tagged kennethrosen
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1
Kenneth Rosen Edition 7th Exercise 2.1 Question 40 (Page No. 126)
Explain why $(A \times B) \times (C \times D)$ and $A \times (B \times C) \times D$ are not the same.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

9
views
kennethrosen
discretemathematics
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0
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0
answers
2
Kenneth Rosen Edition 7th Exercise 2.1 Question 39 (Page No. 126)
Explain why $A \times B \times C$ and $(A \times B) \times C$ are not the same.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

11
views
kennethrosen
discretemathematics
settheory&algebra
0
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0
answers
3
Kenneth Rosen Edition 7th Exercise 2.1 Question 38 (Page No. 126)
Show that $A \times B \neq B \times A$, when $A$ and $B$ are nonempty. unless $A = B.$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

11
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
4
Kenneth Rosen Edition 7th Exercise 2.1 Question 37 (Page No. 126)
How many different elements does $A^n$ have when $A$ has $m$ elements and $n$ is a positive integer?
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
5
Kenneth Rosen Edition 7th Exercise 2.1 Question 36 (Page No. 126)
How many different elements does $A \times B \times C$ have it $A$ has $m$ elemetns, $B$ has $n$ elements, and $C$ has $p$ elements?
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

6
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
6
Kenneth Rosen Edition 7th Exercise 2.1 Question 35 (Page No. 126)
How many different elements does $A \times B$ have if $A$ has $m$ elements and $B$ has $n$ elements?
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

4
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
7
Kenneth Rosen Edition 7th Exercise 2.1 Question 34 (Page No. 126)
Find $A^3$ if $A=\left \{ a \right \}$ $A= \left \{ 0,a \right \}$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

9
views
kennethrosen
discretemathematics
settheory&algebra
+1
vote
1
answer
8
Kenneth Rosen Edition 7th Exercise 2.1 Question 33 (Page No. 126)
Find $A^2$ if $A = \left \{ 0,1,3 \right \}$ $A = \left \{ 1,2,a,b \right \}$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

22
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
9
Kenneth Rosen Edition 7th Exercise 2.1 Question 32 (Page No. 126)
Let $A = \left \{ a,b,c \right \}$, $B = \left \{ x,y \right \},$ and $C= \left \{ 0,1 \right \}$. Find $A \times B \times C$ $C \times B \times A$ $C \times A \times B$ $B \times B \times B$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

10
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
10
Kenneth Rosen Edition 7th Exercise 2.1 Question 31 (Page No. 126)
Let $A$ be a set. Show that $ \phi \times A = A \times \phi = \phi$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

5
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
11
Kenneth Rosen Edition 7th Exercise 2.1 Question 30 (Page No. 126)
Suppose that $A \times B = \phi$, where $A$ and $B$ are sets. What can you conclude?
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

4
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
12
Kenneth Rosen Edition 7th Exercise 2.1 Question 29 (Page No. 126)
What is the Cartesian product $A \times B \times C$, where $A$ is the set of all airlines and $B$ and $C$ are both the set of all cities in the United States? Give an example of how this Cartesian product can be used.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
13
Kenneth Rosen Edition 7th Exercise 2.1 Question 28 (Page No. 126)
What is the Cartesian product $A \times B$, where $A$ is the set of courses offered by the mathematics department at a university and $B$ is the set of mathematics professors at this university? Give an example of how this Cartesian product can be used.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

4
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
14
Kenneth Rosen Edition 7th Exercise 2.1 Question 27 (Page No. 126)
Let $A = \left \{ a,b,c,d \right \}$ and $B= \left \{ y,z. \right \}$ Find $A \times B.$ $B \times A.$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

5
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
15
Kenneth Rosen Edition 7th Exercise 2.1 Question 26 (Page No. 126)
Show that if $A \subseteq C$ and $B \subseteq D$, then $A \times B \subseteq C \times D$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

3
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
16
Kenneth Rosen Edition 7th Exercise 2.1 Question 25 (Page No. 126)
Prove that $P(A) \subseteq P(B)$ if and only if $A \subseteq B.$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
17
Kenneth Rosen Edition 7th Exercise 2.1 Question 24 (Page No. 126)
Determine whether each of these sets is the power set of a set, where $a$ and $b$ are distinct elements. $\phi$ $\left \{ \phi ,\left \{ a \right \} \right \}$ $\left \{ \phi ,\left \{ a \right \},\left \{ \phi ,a \right \} \right \}$ $\left \{ \phi ,\left \{ a \right \},\left \{ b \right \},\left \{ a,b \right \} \right \}$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

21
views
kennethrosen
discretemathematics
settheory&algebra
+1
vote
1
answer
18
Kenneth Rosen Edition 7th Exercise 2.1 Question 23 (Page No. 126)
How many elements does each of these sets have where $a$ and $b$ are distinct elements? $P (\left \{a,b, \left \{a,b \right \} \right \})$ $P\left \{ \phi, a, \left \{ a \right \},\left \{ \left \{ a \right \} \right \}\right \}$ $P(P(\phi ))$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

20
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
19
Kenneth Rosen Edition 7th Exercise 2.1 Question 22 (Page No. 126)
Can you conclude that $A=B$ if $A$ and $B$ are two sets with the same power set?
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

4
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
20
Kenneth Rosen Edition 7th Exercise 2.1 Question 21 (Page No. 126)
Find the power set of each of these sets, where $a$ and $b$ are distinct elements {$a$} {$a,b$} {$\phi,$ {$\phi$}}
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

6
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
21
Kenneth Rosen Edition 7th Exercise 2.1 Question 20 (Page No. 126)
What is the cardinality of each of these sets? $\phi$ {$\phi$} {$\phi$,{$\phi$}} {$\phi$, {$\phi$},{$\phi$, {$\phi$}}}
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

6
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
22
Kenneth Rosen Edition 7th Exercise 2.1 Question 19 (Page No. 126)
What is the cardinality of each of these sets? {$a$} {{$a$}} {$a$, {$a$}} {$a$,{$a$},{$a$, {$a$}}}
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

14
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
23
Kenneth Rosen Edition 7th Exercise 2.1 Question 18 (Page No. 126)
Find two sets $A$ and $B$ such that $A$ $\epsilon$ $B$ and $A \subset B.$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

8
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
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24
Kenneth Rosen Edition 7th Exercise 2.1 Question 17 (Page No. 126)
Suppose that $A, B,$ and $C$ are sets such that $A \subseteq B$ and $B \subseteq C.$ show that $A \subseteq C.$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
25
Kenneth Rosen Edition 7th Exercise 2.1 Question 16 (Page No. 126)
Use a Venn diagram to illustrate the relationships $A \subset B$ and $ A \subset C.$
asked
Apr 5
in
Mathematical Logic
by
Pooja Khatri
Boss
(
10.8k
points)

7
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
26
Kenneth Rosen Edition 7th Exercise 2.1 Question 15 (Page No. 126)
Use a Venn diagram to illustrate the relationships $A \subset B$ and $B \subset C.$
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

4
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
27
Kenneth Rosen Edition 7th Exercise 2.1 Question 14 (Page No. 126)
Use a Venn diagram to illustrate the relationship $A \subseteq B$ and $B \subseteq C$.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

6
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
28
Kenneth Rosen Edition 7th Exercise 2.1 Question 13 (Page No. 126)
Use a Venn diagram to illustrate the set of all months of the year whose names do not contain the letter $R$ in the set of all months of the year.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

5
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
0
answers
29
Kenneth Rosen Edition 7th Exercise 2.1 Question 12 (Page No. 125)
Use a Venn diagram to illustrate the subset of odd integers in the set of all positive integers not exceeding $10$.
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

5
views
kennethrosen
discretemathematics
settheory&algebra
0
votes
1
answer
30
Kenneth Rosen Edition 7th Exercise 2.1 Question 11 (Page No. 125)
Determine whether each of these statements is true or false. $x$ $\epsilon$ {$x$} {$x$} $\subset$ {$x$} {$x$} $\epsilon$ {$x$} {$x$} $\epsilon$ {{$x$}} $\phi$ $\subseteq$ {$x$} $\phi$ $\epsilon$ {$x$}
asked
Apr 5
in
Set Theory & Algebra
by
Pooja Khatri
Boss
(
10.8k
points)

15
views
kennethrosen
discretemathematics
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