Determine the type of boundary line and shading for the graph of the inequality -5x - y less than or equal to -2

Question

anonymous · Answer

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.

campbell_st · Answer

find the intercepts  for -5x - y = -2    x intercept (2/5, 0)    y intercept (0,2) draw the line. 

Since the inequality is less than or equal the line is solid. 

Pick a test point, say (1,1) and substitute into  -5x -y <= -2  . If the inequality is true the then the point is in the shaded area. If not its on the other side of the line. 

so the solution is a solid line that includes the origin