SOLUTION: y<2x+2 y≥-x+1

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Question 1174249: y<2x+2
y≥-x+1
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.

You want to solve this system of two inequalities


   y <= 2x + 2     (1)

   y >= 1 - x      (2)


by graphing.


So, plot two straight lines in a coordinate plane 


    y = 2x + 2      (1')

    y = 1 - x       (2')



    


        Plot y = 2x+2 (red)  and  y = 1-x (green)



The solution set to the given inequalities are the points of the coordinate plane, 

    that are, at the same time,  below the red line  AND  above (or on) the green line.


These points are inside one of the four angles, formed by the two lines, where you see the words "the solution set".

Solved, visualized and explained.

-----------------

On solving inequalities in two variables,  look into the lesson
    - Solving systems of inequalities in two unknown graphically in a coordinate plane
in this site.

Learn the method from there.


Happy learning (!)