$\"\"$

\

The system of inequalities are $\"\"$

\

The two inequalities $\"\"$ and $\"\"$ represents the first quadrant.

\

Graph:

\

Graph the inequalities $\"\"$ and $\"\"$ .

\

Shade the required regions.

\

$\"\"$

\

Observe the graph :

\

The corner points are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

\

The point of intersection is $\"\"$ is in the first quadrant.

\

Therefore, the graph of the inequalities is bounded.

\

$\"\"$

\

The two inequalities are $\"\"$ and $\"\"$ .

\

Consider $\"\"$ .

\

Solve for $\"\"$ .

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$ .

\

therefore, the point of intersection is $\"\"$ .

\

$\"\"$

\

Graph:

\

Graph of the inequality $\"\"$ and $\"\"$ .

\

$\"\"$

\

The corner points are $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

\

The point of intersection is $\"\"$ .

\

The graph of the inequalities is bounded.