Solve the inequalities, for y interms of x.
\The first inequality is .
The second inequality is .
Divide each side by 4.
\The third inequality is .
Subtract 2x from each side.
\Divide each side by negative 1 and flip the symbol.
\The third inequality is .
Subtract 2x from each side.
\Divide each side by 3.
\1) Draw a coordinate plane.
\2) Graph the lines ,
,
and
.
3) The graph of is dashed is not included in the graph of
.
4) The graph of is dashed is not included in the graph of
.
5) The graph of is dashed is not included in the graph of
.
6) The graph of is dashed is not included in the graph of
.
7) The graphs of ,
,
and
are intersection of the graphs of lines
,
,
and
.
8) The regions of ,
,
and
have no common ordered pairs.
So, the system of inequalities has no solution.
\The graph of ,
,
and
is