Graph linear inequalities

Question

problem is:

Answer 1

Start by graphing it as a line:

3x - 2y = 8

y = (3/2)x - 4

So the slope is 3/2 and the y-intercept is (0, -4)

Since this is greater than or equal to, the line will be solid.  If it were just greater than, you'd use a dotted line.  The difference is that the solid line is part of the solution set (the "equal to" part) and the dotted line is not.

You're going to have to shade one side of the line or the other.  The easiest way is to pick a point obviously on one side or the other and try it out.  If it works, you shade that side.  If it doesn't, you shade the other.  The easiest point is often the origin, (0, 0).  In this case, we'd have

3(0) - 2(0) >= 8

0 >= 8

which is not true, so we'd shade the side of the line that doesn't include the origin.

Sorry - you'll have to do the graph on your own.  YA really isn't set up for that.