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".
