Provide an appropriate response.
-Which one of the following is a description of the graph of the solution set for the system below? $$\begin{array} { l }
16 x ^ { 2 } + 25 y ^ { 2 }

Question

Provide an appropriate response.
-Which one of the following is a description of the graph of the solution set for the system below? $$\begin{array} { l } 
16 x ^ { 2 } + 25 y ^ { 2 } < 400 \
y < - 4
\end{array}$$
A) Outside the ellipse and below the line
B) Inside the ellipse and below the line
C) Outside the ellipse and above the line
D) Inside the ellipse and above the line

Quizplus · Accepted Answer

The first inequality describes points inside the ellipse $16x^2 + 25y^2 < 400$, and the second inequality restricts the solution to values of $y$ that are less than $-4$. Therefore, the correct description is inside the ellipse and below the line.

Provide an Appropriate Response 16x2+25y2<400y<−4\begin{array} { l } 16 x ^ { 2 } + 25 y ^ { 2 } < 400 \\y < - 4\end{array}16x2+25y2<400y<−4​

Provide an Appropriate Response $\begin{array} { l } 16 x ^ { 2 } + 25 y ^ { 2 } < 400 \\y < - 4\end{array}$