SOLUTION: y<3x

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Question 150765This question is from textbook Carnegie Learning Algebra 2
: y<3x This question is from textbook Carnegie Learning Algebra 2

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First graph the line y=3x


+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C3x%2B0%29+ Graph of y=3x


Now plug in a test point (0,1) into the inequality y%3C3x. Note: the test point should not be on the line.


y%3C3x Start with the given inequality.


1%3C3%2A%280%29 Plug in x=0 and y=1


1%3C0 Evaluate and simplify.


Since the inequality is false, this means that we shade the entire region that does NOT contain the point (0,1)


In other words, we simply shade the entire region that is below the line.


Graph of y%3C3x with the shaded region in green

Note: since the graph has a less than sign "<", this means that the boundary line is a dotted line.