Which graph represents the solution of the fraction with numerator open paren y plus 2 close paren squared and denominator 4 plus the fraction with numerator open paren x minus 3 close paren squared and denominator 9 is less than 1 and y is less than or equal to square root of x minus 1 end root minus 4 ?

The ellipse inequality has center (3, −2). Its horizontal radius is 3, from the denominator 9, and its vertical radius is 2, from the denominator 4, so its intercepts are (0, −2), (6, −2), (3, 0), and (3, −4). Because the ellipse inequality is strict, the solution is inside the ellipse. The other inequality says y is less than or equal to the curve, so the solution is below it. Choice D shows both conditions.

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