Question is in description.

Question

4(y + 1) < −x How do I graph this will it be solid or dotted?  And where would I shade it and what are the two points on the boundary line.

Answer 1

Solve the inequality for y; you should get y ≤ (-1/4)x -1.  The boundary is the line y = (-1/4)x -1. The line should be solid, because equality is included. The shading should be BELOW the boundary line.

 

To graph the boundary line itself, note that its y-intercept is -1.

If you set y = 0, you find x-intercept to be x = -4. 

 

Draw the line through those points, after locating those points carefully.

 

This procedure works well for nearly all linear inequalities.