The vertices of rectangle shaded region are .
Therefore shaded region have four solid boundary lines and let be these lines are \ \
.
Let the shaded region is right of the line and it contain vertices are
.
Let the shaded region is left of the line and it contain vertices are
.
Let the shaded region is below the line and it contain vertices are
.
Let the shaded region is above the line and it contain vertices are
.
Observe the graph, the boundary line for the shaded region is
. Because the shaded region is above the line
, the inequality is
.
The boundary line for the shaded region is
. Because the shaded region is below the line
, the inequality is
.
The boundary line for the shaded region is
. Because the shaded region is right of line
, the inequality is
.
The boundary line for the shaded region is
. Because the shaded region is left of line
, the inequality is
.
The system of inequalities are .