SOLUTION: Graph the inequality. 3x + y_<_5 Of course the line is a solid line under the < If someone could help me with this problem AND how to write the

SOLUTION: Graph the inequality. 3x + y_<_5 Of course the line is a solid line under the < If someone could help me with this problem AND how to write the < with a line u

Question 102518: Graph the inequality.
3x + y_<_5

Of course the line is a solid line under the < If someone could help me with this problem AND how to write the < with a line under it I would appreciate it.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Simply surround the expression 3x+y<=5 with 3 curly braces, they look like this: { and }, to get . If you're not sure, just click the link "show source"

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

(note: for some reason, some of the following images do not display correctly in Internet Explorer. So I would recommend the use of Firefox to see these images.)

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)

RELATED QUESTIONS
Graph the inequality. y _> 3x Of course the line is supposed to be under the >. Can... (answered by elima)