SOLUTION: how do you graph: 3x+y_<2 thanks, harmony(:

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Question 601726: how do you graph:
3x+y_<2
thanks,
harmony(:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1) Solve for y

3x+%2B+y+%3C=+2

y+%3C=+2-3x

y+%3C=+-3x%2B2


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Step 2) Graph the equation y+=+-3x%2B2. 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.



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%3C=-3x%2B2 (and y is less than or equal to this line -3x+2). The shaded region (in blue) represents the solution set.



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