Replaung A wih AVB, we may assume A and B are disjint (smre AvB: (AiB) UB) If A-0, then AVB = B is denumermble If A # P, Since A is fomite, we can write A fai, a. on 3 for some n Zt Simce B is denumerable, wnite we can De fime f Z+ → AUB ak A- fai, as. , on3 B = ... f:Z+ → AVB
Replaung A wih AVB, we may assume A and B are disjint (smre AvB: (AiB) UB) If A-0, then AVB = B is denumermble If A # P, Since A is fomite, we can write A fai, a. on 3 for some n Zt Simce B is denumerable, wnite we can De fime f Z+ → AUB ak A- fai, as. , on3 B = ... f:Z+ → AVB
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please complete this. I do not know how to show the identity to prove bijection

Transcribed Image Text:Replaung A wth AlB, we may
assume A and
B are disjrint (smce AUB= (A IB) VB)
If A-0,
then
AVB = B
is denumermble
If A #P,
Since A is
fonite,
we
can write
an3
for some n6 Zt
Simce
B is
denumerable ,
we can
write
B =
De fime
f:Z+ → AUB
ak
, Isken
bixn
A- fa, a.
f:Z+ → AVB
ak
Isken
bian
ntl <K
De fime
X= ai tA
x = bi eB
Show f and
inver ses
ore
fog
identity functins
are
got
Note
is well-defined
since ANB= 0
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images

Recommended textbooks for you

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,

