ALGEBRA 2, 2011
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22

 PAGE: 136 SET: Exercises PROBLEM: 22

The graph of the inequality is the shaded region and boundary of the inequality is . To graph the boundary,First find the minimum point of the graph.

Since absolute value function can not be negative, the minimum point of the

graph is where .

The original function is .

Set original function .

(Simplify)

Next make at table, fill out the table with values for x > 1 and  x < 1.

 f(x) = |x – 1| x f(x) –1 2 1 0 2 1 3 2

To draw inequality follow the steps.

1.   Draw a coordinate plane.

2.  Plot the points.

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

4.  To determine which half-plane to be shaded use a test point in either half-plane. A simple choice is .

Substitute 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 .

Inequality graph is

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