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

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

Answer by MathLover1(20849) About Me  (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 boundary line contains all solutions to the inequality.
The boundary line is dashed for > and < and solid for ≥ and ≤.
you have:
x%2B2y+%3C=+4.....solve for y
2y+%3C=-x%2B+4
y+%3C=-x%2F2%2B+4%2F2
y+%3C=-x%2F2%2B+2


The red colored area, the area on the plane that contains all possible solutions to your inequality, and it is called the bounded region.
The green line that marks the edge of the bounded area is very logically called the boundary line and in your case it is a solid line y+=-x%2F2%2B+2 .
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 y+%3C-x%2F2%2B+2.