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National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1966 AMC 12/AHSME
15
Basic Inequalities
Basic Inequalities
Source:
March 22, 2006
inequalities
Problem Statement
If
x
−
y
>
x
x-y>x
x
−
y
>
x
and
x
+
y
<
y
x+y<y
x
+
y
<
y
, then
(A)
y
<
x
(B)
x
<
y
(C)
x
<
y
<
0
(D)
x
<
0
,
y
<
0
\text{(A)} \ y<x \qquad \text{(B)} \ x<y \qquad \text{(C)} \ x<y<0 \qquad \text{(D)} \ x<0,y<0
(A)
y
<
x
(B)
x
<
y
(C)
x
<
y
<
0
(D)
x
<
0
,
y
<
0
(E)
x
<
0
,
y
>
0
\text{(E)} \ x<0,y>0
(E)
x
<
0
,
y
>
0
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