The system of linear inequalities that is represented by the graph are y ≥ 1/3x + 3 and 3x - y > 2
First, we need to get the equation of each line. The standard equation of a line is expressed as:
- m is the slope of the line
For the red line:
b = 3(the point where the line cross the y-axis)
Get the slope using the coordinate (0, 3) and (-3, 2)
m = 2-3/-3-0
m = -1/-3
m = 1/3
The required equation will be at y = 1/3x + 3. Since the line is solid and the upper portion of the graph shaded, the equivalent inequality expression will be y ≥ 1/3x + 3
For the blue line:
b = -2(the point where the line cross the y-axis)
Get the slope using the coordinate (0, -2) and (-1, -5)
m = -5+2/-1-0
m = -3/-1
m = 3
The required equation will be at y = 3x - 2. Since the line is dashed and the lower portion of the graph shaded, the equivalent inequality expression will be y < 3x - 2 or 3x - y > 2
Learn more inequality graphs here: https://brainly.com/question/371134
