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37.
B;
m
/
P
1
m
/
Q
1
m
/
R
5
¬
180
m
/
Q
1
m
/
Q
1
2(
m
/
Q
)
5
¬
180
4(
m
/
Q
)
5
¬
180
m
/
Q
5
¬
45
m
/
P
5
¬
m
/
Q
5
¬
45
38.
B; 4
1
x
5
y
2
5
x
5
¬
y
2
9
Page 100
Maintain Your Skills
39.
Let the four buildings be named
A
,
B
,
C
, and
D
.In
order to have exactly one sidewalk between each
building, there should be 6 sidewalks. If
A
w
B
w
is the
sidewalk between buildings
A
and
B
,then the 6
sidewalks are
A
w
B
w
,
A
w
C
w
,
A
w
D
w
,
B
w
C
w
,
B
w
D
w
, and
C
w
D
w
.
40.
Valid; since 24 is divisible by 6, the Law of
Detachment says it is divisible by 3.
41.
Invalid; 27
4
6
5
4.5, which is not an integer.
42.
Valid; since 85 is not divisible by 3, the
contrapositive of the statement and the Law of
Detachment say that 85 is not divisible by 6.
43.
Sample answer: If people are happy, then they
rarely correct their faults.
44.
Sample answer: If you don’t know where you are
going, then you will probably end up somewhere
else.
45.
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

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