graph the inequality y < |x|+ 5

Absolute value is the distance from 0 so it is always positive. It is also a line with a slope of 1 (or -1 for negative numbers). 
If we add 5 after we take the absolute value of x, then the graph is shifted vertically upward by 5 units. 
Then we test a point, say (0,0), to see if it makes our inequality true:
0< Abs(0)+5 which is true so we shade below the graph (but I don't know how to do the shading on the graph) 
Notice the table: 

x, y=abs(x)+5
-3, 8
-2, 7
-1, 6
0, 5
1, 6
2, 7
3, 8 
Here is the graph: 

 




:)