How would the solution set for $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } \leq 1$ change for the strict inequality $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 }

Question

How would the solution set for $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } \leq 1$ change for the strict inequality $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } < 1 ?$ 
A) The ellipse $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$ would be drawn as a dashed curve.
B) The ellipse $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$ would be drawn as a solid curve.
C) The hyperbola $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$ would be drawn as a solid curve.
D) The hyperbola $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$ would be drawn as a dashed curve.

Quizplus · Accepted Answer

The inequality $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } < 1$ represents the region inside the hyperbola, excluding the boundary. Therefore, the hyperbola $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } = 1$ would be drawn as a dashed curve to indicate that points on the curve are not included in the solution set.

How Would the Solution Set For x216−y29≤1\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } \leq 116x2​−9y2​≤1

How Would the Solution Set For $\frac { x ^ { 2 } } { 16 } - \frac { y ^ { 2 } } { 9 } \leq 1$