The system of inequality associated with the graph are
y < -2
y ≥ x + 1
How to find the equations
The horizontal line have the equation y < -2
The equation of the sloping line is solved to be in the slope intercept form
y = mx + b
Where
m = slope
b = y-intercept (the value of y when x is zero)
slope = change in y / change in x
slope = (0 - 1) / (1 - 0)
slope = -1
The y intercept from the graph is 1
The equation is y = -x + 1
Adding the inequality we have
y ≥ x + 1