Question 63977: I 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
Answer by venugopalramana(3286)   (Show Source):
You can put this solution on YOUR website! 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
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
|
|
|
