6
.
1
.
E
t
=
A
a
, 2
F in
.
b
cfw_1
, 3
,
4
s
Fin
an d s a re tw o re la
tio n s o n
.
d t h e d o m a in a n d r a n
g e for R an d s
R ec a l l
.
) R
, 5
d
t h e d e f in it io n o r c o m
p o s it io n
.
s
fcfw_ a

R
.
R
a n
.
d
)
R
E A x
c
s
t 5b
.
1. Determine the following statements true or false with justication.
a. 13 a 3(mod 4)
\3516 a 4+5 made
b. 2426(mod9) L/
7.4La=l% «t qlits me/
lfae{xx=3k+2;keZ}and be{x!x=3ml;meZ},then asb(mod3).
3K11(3YYH)= aka3m +l zakgmfa: 300) t +
(OIwen : (110 L
MAT 275 Assignment 14 / r) f
U
l.
Prove by induction: For each positive integer n,
1+5+9++(4n3)= 2nun.
L nu (l.\*§;=Z(\1\:\
UB : \
.1 3. W 4 3; SomL km W '\0UM\1 \8 Wt
L9» \*54C\+.+(A\<5 =2,\&K % A 0N orNJSI
Wk WM 03 DWNQ WM 2404 SK In H 13