PAGE: 318 SET: Exercises PROBLEM: 1

The graph of the inequality is the shaded region and boundary of the inequality is .

To draw boundary of the inequality follow the simple steps.

1.  Draw a coordinate plane.

2.  Since inequality symbol is >, the boundary is not included in the solution set. Graph the boundary of the inequality with dashed line.

3.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is .Substitute and x = 0 and y = 0 in original inequality .

The statement is false.

4.  Since the statement is false, shade the region that do not contains point (0, 0).

Graph for inequality graph is

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