SOLUTION: Graph the inequality: y < 3|x - 2|

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Question 1051012: Graph the inequality: y < 3|x - 2|
Answer by Edwin McCravy(20055) About Me  (Show Source):
You can put this solution on YOUR website!


First we draw the graph of  y = 3|x - 2| the boundary
graph by getting 

1. the vertex when what's between the absolute
value bars equals 0:

   x - 2 = 0
       x = 2

Substitute in y = 3|x - 2|
              y = 3|2 - 2|
              y = 3|0|
              y = 3∙0
              y = 0

So the vertex is (2,0)

2. Get a point on the left side of 2, (1,3) 
3. Get a point on the right side of 2, (3,3)

Draw the graph dotted because its <, not <



Now shade BELOW the graph because it's " y < ":


Edwin