Algebra 1, 2008

 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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