Determine the type of boundary line and shading for the graph of the inequality 4x + y > −6.

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

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c

Hold on lemme do the work