SOLUTION: What is the corresponding equation of the boundary line of the inequality x+2y <= 4 ?

Algebra.Com
Question 1087317: What is the corresponding equation of the boundary line of the inequality
x+2y <= 4 ?

Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
The linear inequality divides the coordinate plane into two halves by a boundary line (the line that corresponds to the function). One side of the line contains all solutions to the inequality.
The line is for > and < and for ≥ and ≤.
you have:
.....solve for





The red colored area, the area on the plane that contains all possible solutions to your inequality, and it is called the .
The green line that marks the edge of the bounded area is very logically called the and in your case it is a line .
In this case, all points on the line do satisfy the inequality.

If they didn’t, the boundary line would be dashed and the inequality the inequality would be .


RELATED QUESTIONS

For the graph of the inequality x - 2y is greater than or equal to 4, what is a value of... (answered by EdenWolf)
For the graph of the inequality x - 2y is greater than or equal to 4, what is the value... (answered by Fombitz)
the boundary line is perpendicular to the line 5x-2y=3 and passes the point (4, -9). the... (answered by solver91311)
A line which shows that the boundary line is not part of the solution of... (answered by stanbon)
How would I graph the inequality x+y>2?I need to graph it in one of the following three... (answered by stanbon)
Based on the following inequality, describe what type of boundary line your graph would... (answered by Fombitz)
Based on the following inequality, describe what type of boundary line your graph would... (answered by EdenWolf)
Based on the following inequality, describe what type of boundary line your graph would... (answered by EdenWolf)
In solving the inequality (+1/x-3 less than or equal to 0, the boundary value of -1 is... (answered by Edwin McCravy)