Question

Please me find the points to graph for the follow equations.

x+3y<9, 3x+y<9, x>0, Y>0

Answer 1

Since your inequalities do not have
an equal sign, the points on the
boundry line should not satisfy the
inequalities. All of your boundry lines
should be dotted lines.

X + 3Y < 9. Graph: X + 3Y = 9:
(0 , 3) , (3 , 2) , (9 , 0). If you
use only 2 points, use the end points.
All points below this line should
satisfy the ineq.

3X + Y < 9. Graph: 3X + Y = 9,
(0 , 9),(2 , 3), (3 , 0). If you use
only 2 of these points, use the end
points. All points below this line
should satisfy the ineq.

X < 0. Graph: X = 0:
(0 , 2) , (0 , 4) , (0 , 6). This
is a vertical line that lies on the
Y- axis. All points to the rt. should
satisfy this Ineq.

Y > 0. Graph: Y = 0.
(2 , 0 ) , (4 , 0) , (6 , 0).This is
a hor. line that lies on the X-axis.
All points above this line should
satisfy the Ineq.