Question

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

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

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

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

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

Answer 1

\[-4x-y \ge -2\rightarrow -4x+2 \ge y\]The formula I set up above show that y is greater than or equal to the line created by -4x+2. The line passes above the origin, so the shading can't have the origin. So the answer is B