Question

The diagram below shows the line 2x+3y=10 dividing the Cartesian plane into seven regions. The system of inequalities defining region VI is:

Answer 1

`x\geq 0`

`y\leq 0`

`2x+3y\geq 10`

Explanation:

we know that

The solution for region VI is the shaded area above the solid line
`2x+3y=10` and between the positive values of x and the negative values of y

so

The system of inequalities that represent the region VI is

`x\geq 0`

`y\leq 0`

`2x+3y\geq 10`