Answer:
The graph is shown below.
Step-by-step explanation:
The given inequalities are
[tex]6x + y > -3[/tex]
[tex]2x + y \le 4[/tex]
The related line of both inequalities are
[tex]6x + y=-3[/tex]
[tex]2x + y = 4[/tex]
The table of values are
Line 1 Line 2
x y x y
0 -3 0 4
-0.5 0 2 0
Plot these ordered pairs on a coordinate plane and connect them by straight lines.
Check both inequalities by (0,0).
[tex]6(0) + (0) > -3\Rightarrow 0>-3[/tex] True
[tex]2(0) + (0) le 4\Rightarrow 0\le 4[/tex] True
It means (0,0) is included in the shaded region of both inequalities.
The feasible region is shown below.
