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.
Please show me all the work for an award

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.
Please show me all the work for an award

anonymous · Answer

$$-4x-y>-6\
-y>4x-6\
y<-4x+6$$
Draw the line $y=-4x +6$, then shade accordingly. Since you have a strictly less/greater than symbol, you'll be using a dashed line.

anonymous · Answer

> and < are dashed lines