SOLUTION: solve 5x + 3y > -6 and 2y + x < 6 (inequalities)

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Question 698466: solve 5x + 3y > -6 and 2y + x < 6 (inequalities)
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
solve
5x + 3y > -6
Solve for "y":
y > (-5/3)x - 2
---
Graph the boundry line as a dashed line:
y = (-5/3)x - 2
Shade the half-plane ABOVE the boundary because you want
y to be greater than (-5/3)x-2:::

---------------------------------------------------
and 2y + x < 6
y < (-1/2)x + 3
----
Boundary y = (-1/2)x + 3
Shade the half-plance BELOW te boundary:

-------
The intersection of the two half-planes is the solution
set for the system on inequalities.
===================
Cheers,
Stan H.

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
...the graph is a line and you graph it as equality
find two points that lie on a line
easiest way is to find and
set and find



set and find



now plot these points and draw a dashed line through because you have inequality and shade all area above the line
Solved by pluggable solver: Plot Any Inequality
Graphing function :



do same with

set and find



set and find


Solved by pluggable solver: Plot Any Inequality
Graphing function :




and as a system, solution will be shaded area that overlaps



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