Question

Determine the type of boundary line and shading for the graph of the inequality -2x - 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

\[\Large -2x-y\lt-6\]Multiplying both sides by -1 gives us,\[\Large 2x+y\gt6\]Understand why the sign flipped? :)
Then lets continue to get it into standard form by subtracting 2x to the other side,\[\Large y\gt-2x+6\]

Answer 2

\[\Large y=-2x+6 \qquad\text{looks like this}\]