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 $(0,0)$

$$\begin{gathered} 0+0â‰\yen 2 \\ 0â‰\yen 2 \end{gathered}$$

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$(0,0)$

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

$x+2yâ‰\yen 1$, the equation of line is by replacing inequality with$x+2y=1$

By using testing point$(0,0)$ in inequality$x+2yâ‰\yen 1$

$$\begin{gathered} 0+0â‰\yen 1 \\ 0â‰\yen 1 \end{gathered}$$

The shaded part does not includes the test point$(0,0)$ in the inequality$x+2yâ‰\yen 1$

The shaded portion is the bounded by all inequalities