Answer
Please see the graph.
Work Step by Step
Red line: $x+y\ge1$
Blue line: $2x+3y<1$
Green line: $x>-3$
To determine what side of the lines to shade, we pick a point, and if the results from the inequality are true, we shade the side of the line with the point.
We pick $(0,0)$ in determining what sides of the lines to shade.
$x+y\ge1$
$0+0\ge1$
$0 \ge 1$ (false, so we shade the side of the line without this point)
$2x+3y<1$
$2*0+3*0 <1$
$0+0 < 1$
$0 <1$ (true, so we shade the side of the line with this point)
$x>-3$
$0>-3$ (true, so we shade the side of the line with this point)
The solution set of the set of inequalities is the overlap of the three solution sets (of the individual inequalities).
