Answer:
[tex]x\geq 0[/tex]
[tex]y\leq 0[/tex]
[tex]2x+3y\geq 10[/tex]
Step-by-step explanation:
we know that
The solution for region VI is the shaded area above the solid line [tex]2x+3y=10[/tex] and between the positive values of x and the negative values of y
so
The system of inequalities that represent the region VI is
[tex]x\geq 0[/tex]
[tex]y\leq 0[/tex]
[tex]2x+3y\geq 10[/tex]