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is it possible to find the area between functions that are inequalities? hos does it even work geometrically

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The inequalities are just the bounds for the region. You’re finding the area of the region between *all* of y ≤ x + 3, y ≤ 9 - x^(2), x ≥ 0, and y ≥ 0. Graphing the regions might help you set up the integral or integrals if it is piecewise.
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Graph the curves, shade the region which matches both inequalities, and upload a picture of that so we can help you understand
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In R^2 an inequality like y<x doesn’t define a curve, it defines a half plane, or a region.
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