\
The two inequalities are and
.
1) Draw the coordinate plane.
\First inequality is .
Rewrite the inequality as .
2) Graph the line .
3) Since the inequality symbol is ,the boundary is included in the solution set.
Graph the boundary of the inequality with solid line.
4) To determine which half plane to be shaded, use a test point in either
\half - plane.
\A simple chioce is .
Substitute and
in original inequality.
The statement is true.
\5) Since the statement is true, shade the region that contains the
\point .
Shaded in fuchsia colour.
\\
The second inequality .
Rewrite the inequality as .
6) Graph the line.
7) Since the inequality symbol is , the boundary is included in the solution set.
Graph the boundary of the inequality with solid line.
8) To determine which half plane to be shaded use a test point in either
\half- plane.
\A simple chioce is .
Substitute and
in original inequality.
The statement is false.
\9) Since the statement is false,shade the region that does not contains the
\point .
Shaded in aqua colour.
\Graph:
\The solution of the system is the set of ordered pairs in the intersection of
\the graphs of and
.
This region is shaded in light purple color.
\\
Graph of the system of linear inequalities:
\