The graph of the inequality is the shaded region and boundary of the inequality is
.
To draw boundary of the inequality follow the simple steps.
1. Draw a coordinate plane.
\2. Since inequality symbol is
, the boundary is included in the solution set. Graph the boundary of the inequality
with solid line.
3. To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is (0, 0). Substitute and x = 0 and y = 0 in original inequality .
The statement is false.
\4. Since the statement is false, shade the region that do not contains point (0, 0).
\Substitute (x, y) = in
.
Since the statement is false.
Substitute (x, y) = in
.
Since the statement is false.
Substitute (x, y) = in
.
Since the statement is true.
Substitute (x, y) = in
.
Since the statement is true.
Substitute (x, y) = in
.
Since the statement is true.
\
The solution set is .