Final answer:
The inequality among the given options that has a solution fitting the number line provided is b. 100 > 24, as it is true and consistent with the range of numbers available on the line.
Step-by-step explanation:
The question can be identified as a mathematics question suitable for a high school level dealing with inequalities and their representation on a number line. In this context, let us determine which of the given inequalities has a solution that fits on the provided number line.
- a. 36 < 12: This inequality is not true because 36 is greater than 12, so it cannot be the answer.
- b. 100 > 24: This inequality is true because 100 is indeed greater than 24, and thus it represents a valid inequality consistent with the available options on the number line.
- c. 12 = 24: This is not correct because 12 is not equal to 24, ruling it out as the correct inequality.
- d. 110 - 3 > 30: By simplifying, we have 107 > 30, which is true. But this does not align with the numbers modeled on the provided number line, as the numbers range from -5 to 5, and 107 is not within that range.
Therefore, the correct inequality based on the given options is b. 100 > 24, as its truth value is affirmative and can be visualized within the context of the number line presented in the question.