Answer:
The solution in the attached figure
Step-by-step explanation:
we have
[tex]x+y\leq -3[/tex] ---> inequality A
The solution of the inequality A is the shaded area below the solid line [tex]x+y=-3[/tex]
The slope of the solid line is negative
The y-intercept of the solid line is (0,-3)
The x-intercept of the solid line is (-3,0)
[tex]y < \frac{x}{2}[/tex] ----> inequality B
The solution of the inequality B is the shaded area below the dashed line [tex]y=\frac{x}{2}[/tex]
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,0)
The x-intercept of the dashed line is (0,0)
so
Using a graphing tool
The solution of the system of inequalities is the shaded area below the solid line and below the dashed line
see the attached figure
