Answer:
Equations are y ≥ -5x + 2 and y ≥ 3x -4.
Step-by-step explanation:
Given : Graph .
To find : What system of inequalities is represented by the graph.
Solution : We have given that graph with two lines.
We can see line 1 and line 2 both are shaded up and solid line that mean equations have equal or greater than sign .
We can see y - intercept ( line cut at y axis) of line 1 is 2 ans slope is -5.
Line of equation y = mx + b
Where, m = slope and b = y -intercept.
Plug the values
y ≥ -5x + 2 ( greater than or equal to sign for solid line and shaded up).
In line 2 slope is 3 and y - intercept is -4.
Then equation become y ≥ 3x -4. ( greater than or equal to sign for solid line and shaded up).
Therefore, Equations are y ≥ -5x + 2 and y ≥ 3x -4.