This preview shows page 1. Sign up to view the full content.
50.
C; The contrapositive of a statement always has
the same truth value as the statement.
51.
B; let
x
be the number of girls in class. Then there
are 32
2
x
boys in class.
}
32
x
2
x
} 5
¬
}
5
3
}
3
x
5
¬
5(32
2
x
)
3
x
5
¬
160
2
5
x
8
x
5
¬
160
x
5
¬
20
32
2
x
5
¬
12
Thus, there are 20 girls and 12 boys in class, so
there are 20
2
12 or 8 more girls than boys.
Page 80
Maintain Your Skills
52.
George Washington was the first president of the
United States and a hexagon has 5 sides.
p
`
q
is false because
p
is true and
q
is false.
53.
A hexagon has five sides or 60
3
3
5
18.
q
~
r
is false because
q
is false and
r
is false.
54.
George Washington was the first president of the
United States or a hexagon has five sides.
p
~
q
is true because
p
is true.
55.
A hexagon doesn’t have five sides or 60
3
3
5
18.
,
q
~
r
is true because
,
q
is true.
56.
George Washington was the first president of the
United States and a hexagon doesn’t have five
sides.
p
`,
q
is true because
p
is true and
,
q
is true.
57.
George Washington was not the first president of
the United States and 60
3
3
Þ
18.
,
p
r
is false because
,
p
is false and
,
r
is
true.
58.
AB
5
CD
;
AD
5
BC
59.
The sum of the measures of the angles in a
triangle is 180.
60.
n
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 12/19/2011 for the course MAC 1140 taught by Professor Dr.zhan during the Fall '10 term at UNF.
 Fall '10
 Dr.Zhan
 Calculus, PreCalculus

Click to edit the document details