SOLUTION: Graph each inequality. then show if it needs to be solid or dotted line and where to shade it. 5x+10y>0

Algebra ->  Graphs -> SOLUTION: Graph each inequality. then show if it needs to be solid or dotted line and where to shade it. 5x+10y>0      Log On


   



Question 373190: Graph each inequality. then show if it needs to be solid or dotted line and where to shade it.
5x+10y>0

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since the inequality does not contain an "=" portion, then the boundary line will be dotted to signify that it is not included in the solution.
Plot the line,
5x%2B10y=0
10y=-5x
y=-%281%2F2%29x
.
.
.
graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C0%2C-%281%2F2%29x%29
.
.
.
Now choose a point not on the line.
(2,2) is a convenient choice.
Test the inequality.
If the inequality is satisfied, shade the region containing (2,2).
If not, shade the region that does not contain (2,2).
5x%2B10y%3E0
5%282%29%2B10%282%29%3E0
10%2B20%3E0
30%3E0
True, shade the region containing (2%7D%7D%2C%7B%7B%7B2)
Solved by pluggable solver: Plot Any Inequality
Graphing function 5x%2B10y%3E0:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+5x%2B10y%3E0+%29