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| PAGE: 337 | SET: Exercises | PROBLEM: 1 |
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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