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

question 27

Multiple Choice

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.

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