SOLUTION: how do you? graph inequalities in two variables. EX: x+y>1

Algebra ->  Graphs -> SOLUTION: how do you? graph inequalities in two variables. EX: x+y>1      Log On


   



Question 180575: how do you? graph inequalities in two variables.
EX:
x+y>1

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
x+y>1
:
y>-x+1........the boundry line is y=-x+1.
:
it is a dotted line because it is excluded. if the line was included(in other words if there was and equal sign along with the inequality), then it would be a solid line. In order to know what area to shade you need to find points for which the inequality is true.
:
try a couple of points on either side of the line to be sure you havent made a mistake. try (2,2) for instance
:
2>-2+1--->2>-1....this is a true statement
:
now try one on the other side of the line
:
say (0,0)
:
0>-0+1--->0>1......this is NOT true
:
try another one that is on the correct side to be sure. (3,3)
:
3>-3+1--->3>-2....this is true
:
so now you know which side of the boundry line to shade
:
by the way ....I cant make a dotted line here so remember the boundry line is dotted NOT solid
:
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C-x%2B1%29