Question 906226
you graph y = 1/3x + 2.


this gets you your line.


you draw the line as dashed because your solution will be under the line and not on it.


this is because the equation says < rather than <=.


the area that you shade will be under the line.


it's the area that makes the equation true.


your test, if you need to make it, is at a specific value of x.


since your equation states that y < 1/3x + 2, than any value of y that  you choose at that value of x must be less than the corresponding value of y at that value of x that is on the line.


for example:


you choose x = 6


when x = 6, the equation of y = 1/3x + 2 becomes y = 1/3*6 + 2 which makes y = 4.


any value of y < 4 when x = 6 will satisfy the equation.


any value of y >= 4 when x = 6 will not satisfy the equation.


the graph of your equation is shown below:


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