Which one of the following is a description of the graph of the solution set for the system below?
$$\begin{aligned}
& x^{2}+y^{2} \leq 36 \
& 4 x^{2}+9 y^{2} \geq 36
\end{aligned}$$
A) The area inside the circle (defined by the first equation) and outside the ellipse (defined by the second equation), including both borders.
B) The area inside the ellipse (defined by the second equation), including the border.
C) The area inside the ellipse (defined by the second equation) and outside the circle (defined by the first equation), including both borders.
D) None of these

Question

Quizplus · Accepted Answer

The first equation represents a circle with radius 6 centered at the origin, and the second equation represents an ellipse. The inequalities indicate that the solution set includes points inside or on the circle and outside or on the ellipse, thus matching description A.

Which One of the Following Is a Description of the Graph