To accurately answer the question regarding the system of inequalities graphed on the Cartesian coordinate plane, additional information about the specific inequalities and how they interact is necessary. Generally, a system of inequalities can have:
- No solutions (when the shaded areas do not overlap).
- One solution (very rare for inequalities, usually requires specific conditions).
- Two solutions (also uncommon, more specific conditions).
- Infinite solutions (common when the shaded areas overlap continuously).
Without seeing the image, the most common scenario for a system of inequalities is that it may have infinite solutions if the shaded regions intersect in a way that they form a bounded or unbounded region.
If you could describe the nature of the dashed lines and the marked regions, I could provide a more precise answer. However, based on general knowledge, if you were to choose one without further context, the most common response would likely be "The system has infinite solutions."