Any non-zero real numbers x,y such that $$y
eq3$$ and $$\frac{x}{y}

Question

Any non-zero real numbers x,y such that $$y
eq3$$ and $$\frac{x}{y}<\frac{x+3}{y-3}$$, Will satisfy the condition.

Accepted Answer

If y&lt;0 , and -x&lt;y. It is given that \frac{x}{y}&lt;\ \frac{\ x+3}{y-3} , which can be written as \frac{x}{y}-\frac{\ x+3}{y-3}&lt;0 => \ \frac{\ x\left(y-3\right)-y\left(x+3\right)}{y\left(y-3\right)}&lt;0 => \ \frac{\ xy-3x-xy-3y}{y\left(y-3\right)}&lt;0 => \ \frac{\ -3\left(x+y\right)}{y\lef

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