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
x
boys in class.
32
x
x
¬
5
3
3
x
¬
5(32
x
)
3
x
¬
160
5
x
8
x
¬
160
x
¬
20
32
x
¬
12
Thus, there are 20 girls and 12 boys in class, so
there are 20
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
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
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
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 Fall '10
 Dr.Zhan
 Calculus, PreCalculus, George Washington, Harshad number, President of the United States

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