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

Question

Quizplus · Accepted Answer

The first inequality represents a circle with radius 6, and the second represents an ellipse. The solution set is the area inside the ellipse, including the border, as it is more restrictive than the circle.

Which One of the Following Is a Description of the Graph