The graph of the inequality is the shaded region and boundary of the inequality is
. To graph the boundary, find the x-intercept and y-intercept of the line.
First find the y-intercept.
\The y-intercept is the value of y, when .
(Substitute
in original equation)
(Simplify)
The y-intercept is 5, so the graph intersects the y-axis at (0,
5).
Next find the x-intercept.
\The x-intercept is the value of x, when .
(Substitute
in original equation)
(Multiply each side by 2)
(Simplify)
(Add 10 to each side)
(Simplify)
The x-intercept is 10, so the graph intersects the x-axis at (10, 0).
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 true.
\4. Since the statement is true, shade the region that contains point .
\
Inequality graph is