Question

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

For this one, you need to write it in terms of y, so we solve for y:
\[y > -4x + 6\]
then we check to see if we she above the line or below it. Use a point for a test, ill use (0,0) again.

Is
0> -4(0) + 6 ?
false

so we shade on the side not including the origin

Answer 2

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

Answer 3

an that would be on the top right?

Answer 4

third response, the dashed line on the side not including the origin.

Answer 5

thanks so much :)