Final answer:
Based on the given values for a, b, and c, the correct inequality is C < -a, or -200 < -1, which is true.
Step-by-step explanation:
The correct inequality can be determined by analyzing the given information regarding the values of the constants a, b, and c. Given that a = 1.00, b = 10.0, and c = -200, we can compare these constants to evaluate the inequalities.
The first inequality, C < -a, translates to -200 < -1. This is true because -200 is less than -1.
The second inequality, -c < 0, translates to 200 < 0. This is false because 200 is greater than 0.
The third inequality, c < -b, translates to -200 < -10. This is false because -200 is not less than -10; in fact, it is much less. Therefore, the correct inequality based on the provided values is a) C < -a.