How do you graph the inequality # x – 2y > 4#, #x<4#?
Let's first get the lines graphed. Then we can figure out which area to shade.
I'll convert this to slope-intercept form:
Now let's figure out the inequality. Both equations are either "less than" or "greater than" - we don't have an "equal to" in either line, and so the graph of both equations will be dotted.
So we want the shading to be below the diagonal line and to the left of the vertical line.
(Since the graph doesn't want to behave, I've screened off the remaining lengths of the lines. In your graph, make sure they are there!)