Provide an appropriate response.
-Which one of the following is a description of the graph of the solution set for the system below?
$$4 x ^ { 2 } + 9 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?
$$4 x ^ { 2 } + 9 y ^ { 2 } < 36$$
$$y < - 2$$
A) Inside the ellipse and above the line
B) Outside the ellipse and above the line
C) Inside the ellipse and below the line
D) Outside the ellipse and below the line

Quizplus · Accepted Answer

The first inequality describes points inside an ellipse centered at the origin, since it is a strict inequality. The second inequality describes points below the line $y = -2$. Therefore, the solution set is inside the ellipse and below the line.

Provide an Appropriate Response 4x2+9y2<364 x ^ { 2 } + 9 y ^ { 2 } < 364x2+9y2<36

Provide an Appropriate Response $4 x ^ { 2 } + 9 y ^ { 2 } < 36$