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Question

Use a calculator to display the solution of the given inequality or system of inequalities.

y>x2+2x8y<1x2\begin{array}{l}{y>x^{2}+2 x-8} \\ {y<\frac{1}{x}-2}\end{array}

Solution

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2y>4x22 y > - 4 x^{2}

y<1exy < 1 - e^{- x}

As shown in the graph below, using a graphing calculator, the solution the darkly shaded region.

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