Math 180 Homework 1 (covering 2.1-2.5 & 4.4)
10 points
Due Week 3 at the beginning of class (Tuesday 1/18/2005 for Math 180-001 and
Wednesday 1/19/2005 for Math 180-701)
Please use this sheet as a coversheet for you homework.
9 mod 6 30- e)
4 mod 318 d)
of"Set Power " thedenotes where323,6})({5,8,0,4, d)
set.empty theis where{1} c)
a},7} {3, {1, a}{3, b)
b} a, 3, {1, a} {3, a)
False.or True 5.
classes? eequivalenc theare What relation)? esatisfy th
that pairsorder list the s,other word(in R of
elements theare What relation. eequivalanc
an is This . ifonly and if R b)(a, A whereon relation theis R and 1,2} 0, {-1, A 4.
ive.or transit ricantisymmet symmetric, reflexive, is Rwhether
Determine to".equalor an greater th"relation thebe Rlet and integers all ofset thebeA Let 3.
)
))((( b)
))(( a)
:following hesimplify t s,complement and onsintersecti unions, of properties the Using2.
d)
c)
)(\ b)
a)
Find .}2,1,0 { and }7,6,5,4,3{ 8} than lessnumber oddan is {Let 1.
22
2
≡
≡
=
⊄
∈
∈
=∈=
∩∪∩
∪∪
×
⊕
∪
∪
===∈=
PP
ba
DCAA
ABA
CA
BC
CAB
BA
xxCBxNxA
cccccc
ccc
φφ
Z
