91Ó°ÊÓ

Consider the first inequality in the system of inequalities is $xâ‰\yen 0$& $yâ‰\yen 0$

we get the shaded region

$x+yâ‰\yen 2$, the equation of the equality consider by replacing with equality $x+y=2$

For determining the shaded portion we use to test a point with $(0,0)$

$0+0â‰\yen 2$

The shaded part does not include the point $(0,0)$

$x+y≤8$,the equation of line is replacing by inequality with equality $x+y=8$

By substituting by test point $(0,0)$

$$\begin{gathered} 0+0≤8 \\ 0≤8 \end{gathered}$$

The point $(0,0)$contains the shaded portion in the equation $x+y≤8$

$2x+y≤10$, the equation of line is by replacing inequality with $2x+y=10$

By using testing point$(0,0)$in inequality$2x+y≤10$

$$\begin{gathered} 0+0≤10 \\ 0≤10 \end{gathered}$$

The shaded part includes the test point $(0,0)$in the inequality $2x+y≤10$

The shaded portion is the bounded by all inequalities