INSTRUCTOR’S
SOLUTIONS MANUAL $ W Q
A NALYSIS WITH AN $ W Q $WQ
I NTRODUCTION TO PROOF $WQ $WQ
FIFTH EDITION $WQ
Steven Lay $wq
Boston $ w q Columbus $ w q Indianapolis $ w q New $wqYork $ w q San $wqFrancisco
$ wq Upper $wqSaddle $wqRiver $wqAmsterdam $ w q Cape $wqTown $ w q Dubai $ w q London
$ wq Madrid $ w q Milan $ wq Munich $ w q Paris $ w q Montreal $ w q Toronto
Delhi $ w q Mexico $wqCity $ w q São $wqPaulo $ w q Sydney $ w q Hong $wqKong $ w q Seoul $ w q Singapore
$ w q Taipei $ w q Tokyo
,The $wqauthor $wqand $wqpublisher $wqof $wqthis $wqbook $wqhave $wqused $wqtheir $wqbest $wqefforts $wqin $wqpreparing $wqthis $wqbook.
$wqThese $wqefforts $wqinclude $wqthe $wq development, $wqresearch, $wqand $wqtesting $wqof $wqthe $wqtheories $wqand $wqprograms $wqto
$wqdetermine $wqtheir $wqeffectiveness. $wqThe $wqauthor $wqand $wqpublisher $wqmake $wqno $wqwarranty $wqof $wqany $wqkind, $wqexpressed
$wqor $wqimplied, $wqwith $wqregard $wqto $wqthese $wqprograms $wqor $wqthe $wqdocumentation $wqcontained $wqin $wqthis $ w q book. $wqThe
$wqauthor $wqand $wqpublisher $wqshall $ w q not $ w q be $wqliable $wqin $wqany $wqevent $ w q for $wqincidental $ w q or $wqconsequential
$ w q damages $wqin $wqconnection $wqwith, $wqor $wqarising $wqout $wqof, $wqthe $wqfurnishing, $wqperformance, $wqor $wquse $wqof $wqthese
$wqprograms.
Reproduced $wqby $wqPearson $wqfrom $wqelectronic $wqfiles $wqsupplied $wqby
$wq the $wqauthor. $wqCopyright $wq© $wq2014, $wq2005, $wq2001 $ w q Pearson
Education, $wqInc.
$wq
Publishing $ w q as $ w q Pearson, $wq75 $ w q Arlington $ w q Street, $wqBoston, $wqMA $ w q 02116.
All $wqrights $wqreserved. $wqNo $wqpart $wqof $wqthis $wqpublication $wqmay $wqbe $wqreproduced, $wqstored $wqin $wqa $wqretrieval
$wqsystem, $wqor $wqtransmitted, $wqin $wqany $wqform $wqor $wqby $wqany $wqmeans, $wqelectronic, $wqmechanical, $wqphotocopying,
$wqrecording, $wqor $wqotherwise, $wqwithout $wqthe $wqprior $wqwritten $wqpermission $wqof $wqthe $wqpublisher. $wqPrinted $wqin $wqthe
$wqUnited $wqStates $wqof $wqAmerica.
ISBN-13: $ w q 978-0-321-74748-8
ISBN-10: $ w q 0-321-74748-8
www.pearsonhighered.com
,Instructor’s Solutions Manual
$wq $wq
to $wqaccompany
ANALYSIS
with an Introduction
$wq $wq
to Proof
$wq $wq
5th Edition
$wq
Steven R. Lay $wq $wq
Lee $wqUniversity
© $wq&RS\ULJKW $ w q $ w q 3HDUVRQ $wq(GXFDWLRQ $ w q ,QF
Upper $wqSaddle $wqRiver, $wqNew $wqJersey $wq07458
Copyright $wq© $wq2014 $wqPearson
$wqEducation, $wqInc.
, 2
This $wqmanual $wqis $wqintended $wqto $wqaccompany $wqthe $wq5th $wqedition $wqof $wqAnalysis $wqwith $wqan
$wqIntroduction $wqto $wqProof $wqby $wqSteven $wqR. $wqLay $wq(Pearson, $wq2013). $ w q It $wqcontains $wqsolutions
$wqto $wqnearly $wqevery $wqexercise $wqin $wqthe $wqtext. $ w q Those $wqexercises $wqthat $wqhave $wqhints $wq(or
$wqanswers) $wqin $wqthe $wqback $wqof $wqthe $wqbook $wqare $wqnumbered $wqin $wqbold $wqprint, $wqand $wqthe $wqhints
$wqare $wqincluded $wqhere $wqfor $wqreference. $ w q While $wqmany $wqof $wqthe $wqproofs $wqhave $wqbeen $wqgiven
$wqin $wqfull $wqdetail, $wqsome $wqof $wqthe $wqmore $wqroutine $wqproofs $wqare $wqonly $wqoutlines. $ w q For $wqsome
$wqof $wqthe $wqproblems, $wqother $wqapproaches $wqmay $wqbe $wqequally $wqacceptable. $ w q This $wqis
$wqparticularly $wqtrue $wqfor $wqthose $wqproblems $wqrequesting $wqa $wqcounterexample. $ w q I $wqhave $wqnot
$wqtried $wqto $wqbe $wqexhaustive $wqin $wqdiscussing $wqeach $wqexercise, $wqbut $wqrather $wqto $wqbe $wqsuggestive.
Let $wqme $wqremind $wqyou $wqthat $wqthe $wqstarred $wqexercises $wqare $wqnot $wqnecessarily $wqthe $wqmore
$wqdifficult $wqones. $ w q They $ w q are $wqthe $wqexercises $wqthat $wqare $wqused $wqin $wqsome $wqway $wqin
$wqsubsequent $wqsections. $ w q There $wqis $wqa $wqtable $wqon $wqpage $wq3 $wqthat $wqindicates $wqwhere $wqstarred
$wqexercises $wqare $wqused $wqlater. $ w q The $wqfollowing $wqnotations $wqare $wqused $wqthroughout $wqthis
$wqmanual:
ℕ $ w q = the $wqset $wqof $wqnatural $wqnumbers $wq{1, $wq2, $wq3, $wq4, $wq…}
$ w q
$ w q $ w q = $ w q the $wqset $wqof $wqrational $wqnumbers
R $ w q = $ w q the $wqset $wqof $wqreal $wqnumbers
$ w q = $ w q “for $wqevery”
$ w q = $ w q “there $wqexists”
e $ w q = $ w q “such $wqthat”
I $wqhave $wqtried $wqto $wqbe $wqaccurate $wqin $wqthe $wqpreparation $wqof $wqthis $wqmanual. $ w q Undoubtedly,
$wqhowever, $wqsome $wqmistakes $wqwill $wqinadvertently $wqslip $wqby. $ w q I $wqwould $wqappreciate $wqhaving
$wqany $wqerrors $wqin $wqthis $wqmanual $wqor $wqthe $wqtext $wqbrought $wqto $wqmy $wqattention.
Steven $wqR. $wqLay
Copyright $wq© $wq2014 $wqPearson
$wqEducation, $wqInc.
SOLUTIONS MANUAL $ W Q
A NALYSIS WITH AN $ W Q $WQ
I NTRODUCTION TO PROOF $WQ $WQ
FIFTH EDITION $WQ
Steven Lay $wq
Boston $ w q Columbus $ w q Indianapolis $ w q New $wqYork $ w q San $wqFrancisco
$ wq Upper $wqSaddle $wqRiver $wqAmsterdam $ w q Cape $wqTown $ w q Dubai $ w q London
$ wq Madrid $ w q Milan $ wq Munich $ w q Paris $ w q Montreal $ w q Toronto
Delhi $ w q Mexico $wqCity $ w q São $wqPaulo $ w q Sydney $ w q Hong $wqKong $ w q Seoul $ w q Singapore
$ w q Taipei $ w q Tokyo
,The $wqauthor $wqand $wqpublisher $wqof $wqthis $wqbook $wqhave $wqused $wqtheir $wqbest $wqefforts $wqin $wqpreparing $wqthis $wqbook.
$wqThese $wqefforts $wqinclude $wqthe $wq development, $wqresearch, $wqand $wqtesting $wqof $wqthe $wqtheories $wqand $wqprograms $wqto
$wqdetermine $wqtheir $wqeffectiveness. $wqThe $wqauthor $wqand $wqpublisher $wqmake $wqno $wqwarranty $wqof $wqany $wqkind, $wqexpressed
$wqor $wqimplied, $wqwith $wqregard $wqto $wqthese $wqprograms $wqor $wqthe $wqdocumentation $wqcontained $wqin $wqthis $ w q book. $wqThe
$wqauthor $wqand $wqpublisher $wqshall $ w q not $ w q be $wqliable $wqin $wqany $wqevent $ w q for $wqincidental $ w q or $wqconsequential
$ w q damages $wqin $wqconnection $wqwith, $wqor $wqarising $wqout $wqof, $wqthe $wqfurnishing, $wqperformance, $wqor $wquse $wqof $wqthese
$wqprograms.
Reproduced $wqby $wqPearson $wqfrom $wqelectronic $wqfiles $wqsupplied $wqby
$wq the $wqauthor. $wqCopyright $wq© $wq2014, $wq2005, $wq2001 $ w q Pearson
Education, $wqInc.
$wq
Publishing $ w q as $ w q Pearson, $wq75 $ w q Arlington $ w q Street, $wqBoston, $wqMA $ w q 02116.
All $wqrights $wqreserved. $wqNo $wqpart $wqof $wqthis $wqpublication $wqmay $wqbe $wqreproduced, $wqstored $wqin $wqa $wqretrieval
$wqsystem, $wqor $wqtransmitted, $wqin $wqany $wqform $wqor $wqby $wqany $wqmeans, $wqelectronic, $wqmechanical, $wqphotocopying,
$wqrecording, $wqor $wqotherwise, $wqwithout $wqthe $wqprior $wqwritten $wqpermission $wqof $wqthe $wqpublisher. $wqPrinted $wqin $wqthe
$wqUnited $wqStates $wqof $wqAmerica.
ISBN-13: $ w q 978-0-321-74748-8
ISBN-10: $ w q 0-321-74748-8
www.pearsonhighered.com
,Instructor’s Solutions Manual
$wq $wq
to $wqaccompany
ANALYSIS
with an Introduction
$wq $wq
to Proof
$wq $wq
5th Edition
$wq
Steven R. Lay $wq $wq
Lee $wqUniversity
© $wq&RS\ULJKW $ w q $ w q 3HDUVRQ $wq(GXFDWLRQ $ w q ,QF
Upper $wqSaddle $wqRiver, $wqNew $wqJersey $wq07458
Copyright $wq© $wq2014 $wqPearson
$wqEducation, $wqInc.
, 2
This $wqmanual $wqis $wqintended $wqto $wqaccompany $wqthe $wq5th $wqedition $wqof $wqAnalysis $wqwith $wqan
$wqIntroduction $wqto $wqProof $wqby $wqSteven $wqR. $wqLay $wq(Pearson, $wq2013). $ w q It $wqcontains $wqsolutions
$wqto $wqnearly $wqevery $wqexercise $wqin $wqthe $wqtext. $ w q Those $wqexercises $wqthat $wqhave $wqhints $wq(or
$wqanswers) $wqin $wqthe $wqback $wqof $wqthe $wqbook $wqare $wqnumbered $wqin $wqbold $wqprint, $wqand $wqthe $wqhints
$wqare $wqincluded $wqhere $wqfor $wqreference. $ w q While $wqmany $wqof $wqthe $wqproofs $wqhave $wqbeen $wqgiven
$wqin $wqfull $wqdetail, $wqsome $wqof $wqthe $wqmore $wqroutine $wqproofs $wqare $wqonly $wqoutlines. $ w q For $wqsome
$wqof $wqthe $wqproblems, $wqother $wqapproaches $wqmay $wqbe $wqequally $wqacceptable. $ w q This $wqis
$wqparticularly $wqtrue $wqfor $wqthose $wqproblems $wqrequesting $wqa $wqcounterexample. $ w q I $wqhave $wqnot
$wqtried $wqto $wqbe $wqexhaustive $wqin $wqdiscussing $wqeach $wqexercise, $wqbut $wqrather $wqto $wqbe $wqsuggestive.
Let $wqme $wqremind $wqyou $wqthat $wqthe $wqstarred $wqexercises $wqare $wqnot $wqnecessarily $wqthe $wqmore
$wqdifficult $wqones. $ w q They $ w q are $wqthe $wqexercises $wqthat $wqare $wqused $wqin $wqsome $wqway $wqin
$wqsubsequent $wqsections. $ w q There $wqis $wqa $wqtable $wqon $wqpage $wq3 $wqthat $wqindicates $wqwhere $wqstarred
$wqexercises $wqare $wqused $wqlater. $ w q The $wqfollowing $wqnotations $wqare $wqused $wqthroughout $wqthis
$wqmanual:
ℕ $ w q = the $wqset $wqof $wqnatural $wqnumbers $wq{1, $wq2, $wq3, $wq4, $wq…}
$ w q
$ w q $ w q = $ w q the $wqset $wqof $wqrational $wqnumbers
R $ w q = $ w q the $wqset $wqof $wqreal $wqnumbers
$ w q = $ w q “for $wqevery”
$ w q = $ w q “there $wqexists”
e $ w q = $ w q “such $wqthat”
I $wqhave $wqtried $wqto $wqbe $wqaccurate $wqin $wqthe $wqpreparation $wqof $wqthis $wqmanual. $ w q Undoubtedly,
$wqhowever, $wqsome $wqmistakes $wqwill $wqinadvertently $wqslip $wqby. $ w q I $wqwould $wqappreciate $wqhaving
$wqany $wqerrors $wqin $wqthis $wqmanual $wqor $wqthe $wqtext $wqbrought $wqto $wqmy $wqattention.
Steven $wqR. $wqLay
Copyright $wq© $wq2014 $wqPearson
$wqEducation, $wqInc.
