Question 1174249
.
<pre>

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')



    {{{drawing(330, 330, -5, 5, -10, 10,

       graph( 330, 330, -5, 5, -10, 10,
              2x+2, 1-x),
       locate(3,   5,   the),
       locate(2.5, 3.5, solution),
       locate(3,   2,   set)
)}}}


        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  <U>AND</U>  above (or <U>on</U>) 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".
</pre>

Solved, visualized and explained.


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


On solving inequalities in two variables, &nbsp;look into the lesson

&nbsp;&nbsp;&nbsp;&nbsp;- <A HREF=https://www.algebra.com/algebra/homework/Graphs/Solving-systems-of-inequalities-in-two-unknown-graphically-in-a-coordinate-plane.lesson>Solving systems of inequalities in two unknown graphically in a coordinate plane</A> 

in this site.


Learn the method from there.



Happy learning (!)