Question 1151568: https://answers.yahoo.com/question/index?qid=20200124160214AAREtKC
Found 3 solutions by MathLover1, ikleyn, MathTherapy:
Answer by MathLover1(20849)   (Show Source):
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
They want you solve this system of two inequalities
y <= 3x - 2 (1)
y >= 1 - x (2)
by graphing.
So, plot two straight lines in a coordinate plane
y = 3x - 2 (1')
y = 1 - x (2')
Plot y = 3x-2 (red) and y = 1-x (green)
The solution set to the given inequalities are the points of the coordinate plane,
that are below (or on) the red line AND above (or on) the green line.
It is one of the four angles between the two lines, where you see the words "solution set".
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Be aware : The post by @MathLover1 is IRRELEVANT to the given problem.
For your safety, simply ignore it.
Answer by MathTherapy(10552)  (Show Source):
You can put this solution on YOUR website! https://answers.yahoo.com/question/index?qid=20200124160214AAREtKC
Change the inequality from >= to "=". So,  becomes: 
Likewise,  becomes: 
Now, graph each line on the same coordinate plane, since it's obvious that a sole equation/inequality with 2 variables CANNOT be solved, unless solving for one of the variables.
When graphing , make sure that it's a SOLID line since the inequality includes an equals sign. Shade BELOW this line since it's stated that .
Now, repeat the process for the 2nd inequality, ensuring that it's also a SOLID line (inequality also includes an equals sign), but in this case, the shading should
be ABOVE the line of the graph of , since it includes a > (greater than) sign.
By the way, solving the SYSTEM, you'll get a solution of  which means that both lines INTERSECT at that coordinate point.
After shading both sides of the line-graphs, the OVERLAPPING SECTION, along with coordinate points on the lines themselves, will contain the solutions to the system of inequalities.
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