Question 63977
 am having trouble understanding how to solve this system by graphing, everytime I try, I get a graph with a shaded area and no lines. this does not look right to me, will you help me understand how to graph this? 
x+y<5
0<=y<=3
x>=1
DRAW GRAPHS FOR ALL THE EQUALITIES.
1.X+Y=5...............IT IS THE SLANTING LINE THROUGH (5,0) AND (0,5).
SINCE X+Y<5.....THE SOLUTION AREA IS BETWEEN THIS LINE AND ORIGIN.
X=..................0...................5
Y=5-X...............5...................0
2.Y=0...IT IS THE HORIZONTAL X AXIS .
SINCE 0<=Y....THE SOLUTION AREA IS ABOVE THIS LINE INCLUDING THE LINE.
X................0......................5
Y=...............0......................0
3.Y=3....IT IS THE LINE PARALLEL TO X AXIS THROUGH (3,0) 
SINCE Y<=3.....THE SOLUTION AREA IS BELOW THE LINE INCLUDING THE LINE.
X.................0...........................5
Y=................3............................3
4.X=1 ....IT IS THE LINE PARALLEL TO Y AXIS THROUGH (1,0)
SINCE X>=1....THE SOLUTION ZONE IS TO THE RIGHT OF THIS LINE INCLUDING THE LINE.
X......................1.........................1
Y......................0.........................5
THE GRAPHS LOOK LIKE THIS
{{{ graph( 500, 500, -10, 10, -10, 10, 5-x,0,3,(x-1)/0.000001) }}}
THE SOLUTION ZONE COMMON TO ALL THE ABOVE ZONES IS THE AREA BETWEEN THE SLANTING LINE ,X AXIS, LINE PARALLEL TO X AXIS AND LINE PARALLEL TO Y AXIS.
HATCH THIS AREA