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 .
(Add 1 to each side)
(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 halfplane to be shaded use a test point in either halfplane. 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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