Provide an Appropriate Response $x$ -Intercepts At $( - 8,0 )$ And $( 8,0 )$

Multiple Choice

Provide an appropriate response.
-Which of the following inequalities satisfies the following description: the region inside an ellipse centered at the origin, with $x$ -intercepts at $( - 8,0 )$ and $( 8,0 )$ , and $y$ -intercepts at $( 0 , - 4 )$ and $( 0,4 )$ ?

A) $\frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 4 } < 1$
B) $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 16 } > 1$
C) $\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 16 } < 1$
D) $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 16 } < 1$