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Questions on creating visualizations from functions or data using high-level constructors such as Plot, ListPlot, Histogram, etc.

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How can I graph this inequality on the x-y plane?

I'd like to graph the following inequality on the x-y plane: $$ P(y): (\forall x\in [0,y))\left(\frac{x - \epsilon(1+a)}{a} \leq y \leq \frac{x + \epsilon(1+a)}{a}\right) $$ This is the set of point …
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