The system of inequalities are ,
and
.
Graph:
\Graph the inequalities ,
and
:
Observe the graph:
\The region shaded in pink color is the required solution set.
\Test the solution at point .
Case (i):
\ (First equation)
(Substitute
)
(Multiply)
(Subtract)
Case (ii):
\ (Second equation)
(Substitute
)
(Multiply)
(Subtract)
Case (iii):
\ (Third equation)
(Substitute
)
(Multiply)
(Add)
Therefore, the region shaded contains the point .
Graph of the inequalities ,
and
is
The solution is region containing the point .