Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y less than or greater to -2

Dashed line with shading on the side that includes the origin.

Solid line with shading on the side that does not include the origin.

Dashed line with shading on the side that does not include the origin.

Solid line with shading on the side that includes the origin.

Answer 1

inequalities with > or < signs have dotted lines

when you get >= or =< the line is solid.

Answer 2

to to test the inequality just pick a point and substitute, if its try the point in the the shaded area of the solution. If not its the opposite side of the line.

in your question use the origin

substitute x = 0 and y = 0 and test where its true or not