Answer:
Given system of inequalities,
2x + y < 0 --------(1)
y ≥ -4 - 2x ------(2),
The related equation of inequality (1) is,
2x + y = 0
Which is a line which passes through the origin.
'<' shows the dotted line.
Now, the related equation of the inequality (2),
y = -4 - 2x
Which is also a line having x-intercept (-2,0) and y-intercept (0,-4),
And, 0 ≥ -4 - 2(0) ( True )
Thus, the area of inequality (2) must be contain the origin.
Also, '≥' shows the solid line.
Hence, by the above explanation we can plot the both inequality on a graph.
And, the solution of the system of these inequalities is the feasible region of the inequalities.( shown below )
