The inequality is .
The equation is .
Apply formula : If then
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The above equation can be written as two equations .
The graph of the inequality is the shaded region, so every point in the shaded region satisfies the inequality.
The graph of two equations are the boundaries of the shaded region. Since the inequality symbol
, the boundaries are drawn as a dashed line to show that points on the line does not satisfy the inequality.
To graph the boundary lines, make the table of values to find ordered pairs that satisfy the equation.
\Choose values for x and find the corresponding values for y.
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To draw inequality follow the steps.
1. Draw a coordinate plane.
\2. Plot the points and draw a line through these points.
\3. To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is .
Substitute the value of in the original inequality.
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4. Since the above statement is false, shade the region that does not contain point .
The inequality graph is