Answer:
(An ellipse)
Step-by-step explanation:
Let consider the following trigonometric identity:
Each trigonometric function is cleared respectively in given parametric equations:
and
The equivalent expression in rectangular form is:
Which represents an ellipse.
Given:
The inequality is
Where, c is the number of cars in the parking lot.
To find:
The graph for the given inequality.
Solution:
We have,
Here, the value of c can be any real number less than or equal to 7. But c is the number of cars, so c must be a non-zero integer.
Since, all the non-zero integer values less than or equal to 7 are included in the solution set, therefore, c = 0,1, 2,3,4, 5,6,7.
In the graph of the given inequality, there are close circles on 0,1, 2,3,4, 5,6,7 as shown in option D.
Therefore, the correct option is D.