MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1956 AMC 12/AHSME
44
44
Part of
1956 AMC 12/AHSME
Problems
(1)
x<a<0
Source:
2/15/2009
If
x
<
a
<
0
x < a < 0
x
<
a
<
0
means that
x
x
x
and
a
a
a
are numbers such that
x
x
x
is less than
a
a
a
and
a
a
a
is less than zero, then:
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
x
2
<
a
x
<
0
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
x
2
>
a
x
>
a
2
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
x
2
<
a
2
<
0
<span class='latex-bold'>(A)</span>\ x^2 < ax < 0 \qquad<span class='latex-bold'>(B)</span>\ x^2 > ax > a^2 \qquad<span class='latex-bold'>(C)</span>\ x^2 < a^2 < 0
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
x
2
<
a
x
<
0
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
x
2
>
a
x
>
a
2
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
x
2
<
a
2
<
0
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
x
2
>
a
x
but
a
x
<
0
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
x
2
>
a
2
but
a
2
<
0
<span class='latex-bold'>(D)</span>\ x^2 > ax\text{ but }ax < 0 \qquad<span class='latex-bold'>(E)</span>\ x^2 > a^2\text{ but }a^2 < 0
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
x
2
>
a
x
but
a
x
<
0
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
x
2
>
a
2
but
a
2
<
0
inequalities