Final answer:
Svetlana is incorrect; even with the same slope, two linear inequalities can have an overlapping solution region between them, defined by different y-intercepts.
Step-by-step explanation:
Svetlana thinks there is no solution to the system of linear inequalities because they have the same slope. However, this is not necessarily correct. Just because two linear inequalities have the same slope does not mean that there is no solution. The solution to a system of linear inequalities is the region where the graphs of the inequalities overlap.
In the given system, y > 4x - 8 and y ≤ 4x + 4, the overlapping region would be where y is strictly greater than 4x - 8 and also less than or equal to 4x + 4. The two inequalities could be graphed as lines with the same slope but different y-intercepts, which creates a strip of solutions in between the two lines with boundaries defined by the y-intercepts. As long as one inequality is strict (>): there will be a region where the inequalities overlap, so there will be solutions to the system.