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