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