1966 AHSME Problems/Problem 15

Problem

If $x-y>x$ and $x+y<y$, then

$\text{(A) } y<x \quad \text{(B) } x<y \quad \text{(C) } x<y<0 \quad \text{(D) } x<0,y<0 \quad \text{(E) } x<0,y>0$

Solution

From $x-y>x$, we get that $-y>0\implies y<0$. From $x+y<y$, we get that $x<0$. So, our final answer is $\fbox{D}$.

See also

1966 AHSME (ProblemsAnswer KeyResources)
Preceded by
Problem 14
Followed by
Problem 16
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