SOLUTION: Graph the solution to : 2x+3y<6
Algebra.Com
Question 90004: Graph the solution to : 2x+3y<6
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to graph the equation (just replace the inequality sign with an equal sign).
So lets graph the line (note: if you need help with graphing, check out this solver)
graph of
Now lets pick a test point, say (0,0). Any point will work, (just make sure the point doesn't lie on the line) but this point is the easiest to work with. Now evaluate the inequality with the test point
Substitute (0,0) into the inequality
Plug in and
Simplify
Since this inequality is true, we simply shade the entire region that contains (0,0)
Graph of with the boundary (which is the line in red) and the shaded region (in green)
(note: since the inequality contains a less-than sign, this means the boundary is excluded. This means the solid red line is really a dashed line)
RELATED QUESTIONS
Graph the solution to:... (answered by jim_thompson5910)
Graph the following solution.... (answered by checkley71)
how to graph this solution 2x +3y... (answered by rapaljer)
Graph the following solution.... (answered by checkley71)
2x + 3y = 12
4x - 3y = 6
what is the solution and how do i plot 3 points on the graph (answered by rfer)
Graph the solution: x + 3y =... (answered by solver91311)
I need help finding the slope of x+3y=6 m=
Find the solution set for -2x>1/9
5x-15=3y (answered by jim_thompson5910)
create a graph that shows the solution to these linear equalities
x+2y<3
2x-3y<6... (answered by jim_thompson5910)
graph the inequality please:
2x + 3y > 6
(answered by rapaljer)