For the inequality 4x−3y<12, which of the following correctly describes how its boundary line is drawn on the coordinate plane?
a) Draw a solid line for 4x−3y=12 and shade the side containing (0,0) if it satisfies the inequality.
b) Draw a dashed line for 4x−3y=12 and shade the side not containing (0,0) even if the origin satisfies the inequality.
c) Draw a dashed line for 4x−3y=12 and shade the side containing (0,0) if it satisfies the inequality.
d) Draw a solid line for 4x−3y=12 and shade the side not containing (0,0) even if the origin satisfies the inequality.