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The inequality is .
Consider the graph of .
First determine the boundary by graphing , the equation you obtain by replacing inequality sign with an equals sign.
Since the inequality involves y-values greater than or equal 4, the line should be dashed.
The boundary divides the coordinate plane in to two half planes.
Note: a dashed line on a coordinate plane indicates that the boundary is not part of the solution set.
To determine which half plane contains the solution, choose a point from each half plane and test it in the inequality.
Try . So, substitute y = 3.
Since the statement is false.
Try . So, substitute y = 6.
Since the statement is true.
The half plane that contains contains the solution. Shade that half plane.
The graph of the inequality is
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