The graph that represents the solution set to the system of inequalities is option D (see image below).
How to Find the Graph that Represents the Solution to a System of Inequalities?
Given the inequalities, y < -1/2x + 2 and y ≥ -3/2x + 2, both inequalities have negative slopes. This means that the graph would consists of two lines that are declining from left to the right. This automatically cancels out options A and B.
Also, the inequality y < -1/2x + 2, has the inequality sign, "<", this means the boundary line of this inequality would be a dashed line, and also, the shaded area would be under the boundary line. The only graph that represents this inequality of this line and also has a slope -1/2 is the last graph in the option.
Therefore, the graph that represents the solution set to the system of inequalities is option D (see image below).
Learn more about graph of inequalities on:
https://brainly.com/question/11234618
#SPJ1
