Question 601726
Step 1) Solve for y


{{{3x + y <= 2}}}


{{{y <= 2-3x}}}


{{{y <= -3x+2}}}



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Step 2) Graph the equation {{{y = -3x+2}}}. Do this by plotting two points and drawing a straight line through them. Each point can be found by plugging in a value of x to find a corresponding value of y.


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/graph1-3.png">


Note: this line is a solid boundary line.


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Step 2) Shade below the line because we have a less than or equal to sign in {{{y<=-3x+2}}} (and y is less than or equal to this line -3x+2). The shaded region (in blue) represents the solution set.


<img src="http://i150.photobucket.com/albums/s91/jim_thompson5910/Algebra%20dot%20com/graph2-3.png">


Note: again, this line is a solid boundary line.