SOLUTION: graph the inequality on a plane 2x+3y<6 - I know that the line will be a solid line.

Algebra ->  Coordinate-system -> SOLUTION: graph the inequality on a plane 2x+3y<6 - I know that the line will be a solid line.       Log On


   

Question 515520: graph the inequality on a plane
2x+3y<6
-
I know that the line will be a solid line.
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
graph the inequality on a plane
2x+3y <= 6
-------------------------------
1st Solve for "y":
y <= (-2/3)x + 2
----------------------
2nd: graph the boundary: y = (-2/3)x + 2
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29x+%2B+2%29
----------------
3rd: Since you want y LESS than the boundary, shade
the half-plane BELOW the boundary.
---------------
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cy+%3C+%28-2%2F3%29x%2B2%29
=================
Cheers,
Stan H.
===============

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2x%2B3y%3C6

3y%3C-2x%2B6

y%3C-%282%2F3%29x%2B2

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+-%282%2F3%29x%2B2%29+


on this graph you see red area where y is less than -%282%2F3%29x%2B2:
Solved by pluggable solver: Plot Any Inequality
Graphing function y%3C-%282%2F3%29x%2B2:

graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+y%3C-%282%2F3%29x%2B2+%29