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Question

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anonymous · Answer

@amistre64 help?

amistre64 · Answer

the type of boundary line, do you know i remember it?

amistre64 · Answer

$\le$ and $\ge$ have solid lines under them; so the boundary would have to have a solid line; otherwise, not solid

amistre64 · Answer

so, which type of boundary line does this question pose?

amistre64 · Answer

the boundary line itself; from the equation given and my clue; would you be able to determine the nature of the line itself? (solid or dashed)

amistre64 · Answer

$$-4x - y  ~\ge -8$$               ^since this has a solid
                  line under it, the boundary line
                   will be solid as well

amistre64 · Answer

all thats left is to plug in the values of the origin into x and y and see if the statement is true; 

if true, shaded the origin side of the boundary line
if false, shaded the other side