Final answer:
The two additional inequalities that complete the system with the inequality y≥ 1 cannot be determined without a visual representation of the shaded region on the graph. The inequalities define the half-planes that contain all points satisfying them, and their intersection creates the shaded region.
option a & d is the correct
Step-by-step explanation:
The student is asked to identify the two other inequalities, given that the shaded region on the graph satisfies three inequalities and one of them is y≥ 1. To find the other two inequalities, we must consider the properties of linear inequalities and understand that the shaded region is bounded by lines that correspond to these inequalities.
Each inequality divides the coordinate plane into two regions: a region that satisfies the inequality (inclusive of the line if it is ≤ or ≥) and a region that does not. The shaded region which overlaps would be the solution to the system of inequalities, including y≥ 1.
Without additional context or a graph provided, we cannot definitively determine the correct inequalities. Therefore, we would need more information or a visual representation of the graph to identify the two remaining inequalities that, along with y≥ 1, define the shaded region. In a typical case, the inequalities would represent lines on the graph, and the region of interest would be where all inequalities are satisfied simultaneously.