Answer: The graph represents the system of linear inequalities: {y≤2x−1 y>−2x+3
This can be determined by analyzing the slopes and y-intercepts of the lines represented by the inequalities.
The first inequality, y≤2x−1, represents a line with a slope of 2 and y-intercept of -1. This line will be a solid line because it includes the y=2x-1.
The second inequality, y>−2x+3, represents a line with a slope of -2 and y-intercept of 3. This line will be a dashed line because it does not include the y=-2x+3.
The graph of this system of linear inequalities will be a shaded area that is above the dashed line and below the solid line. This area represents the solution of the system. The other options do not represent the correct system of inequalities.
Explanation: