`{{:(y gt 2x-3),(5y le 3x):}`

The graph above depicts the system of inequalities shown Which of the labeled section or sections of the graph could represent all of the solutions of the system ?

Options

A. Section A and B
B. Section B
C. Section C and D
D. Section D

Answer

D

Explanation

Sectinos A and D are all the y valuse greater than `2x-3,` so those sectinos arfe the solution set for the inequality `y gt 2x-3.` Similarly, Sections C and D are the solution set for `5y le 3x.` The solutions for a system of inequalities are all the points that satisfy all (both, in this casae) of the inequalities. The points in Section D are in the solution set for both inequalities, so (D) is correct.