Question

Determine the type of boundary line and shading for the graph of the inequality -4x - y < -6

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

If there is a line under the <, then you have a solid boundary line

If there isn't a line under the <, then you have a dashed boundary line

Answer 2

To see if the origin is in the solution set, you plug in x = 0 and y = 0 and see if you get a true inequality or not