Solve the inequalities, for y interms of x.
\The first inequality is
.
The second inequality is
.
Subtract 2x from each side.
\

Divide each side by minus 7 and flip the symbol.
\

The third inequality is
.
Subtract 3x from each side.
\

Divide each side by 2.
\

1) Draw a coordinate plane.
\2) Graph the lines
,
and
.
3) The graph of
is solid is included in the graph of
.
4) The graph of
is solid is included in the graph of
.
5) The graph of
is solid is included in the graph of
.
6) The graphs of
,
and
are intersection of the graphs of lines
,
and
.
7) The regions of
,
and
have no common ordered pairs.
So, the system of inequalities has no solution.
\
The graph of
,
and
is
\
