Step-by-step Answer
PAGE: 337SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

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.

graph of the inequality y >= 4

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.

graph of the inequality y >= 4

The graph of the inequality is

graph of the inequality y >= 4


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