20. graph \( -2 x+y-4<9 \) (not number line)

To graph the inequality \(-2x + y - 4 < 9\), first, you'll want to rewrite it in slope-intercept form. Start by simplifying: \(y < 2x + 13\). Now, graph the line \(y = 2x + 13\). Since the inequality is "<" and not "\(\leq\)", use a dashed line to indicate that points on the line are not included in the solution set. Next, choose a test point, like (0,0), to determine which side of the line to shade. Since \(0 < 2(0) + 13\) is true, shade the area below the line to represent all the solutions to the inequality! For an even clearer picture, try to label your axes and select a few points on the line, calculating their y-values. This helps you visualize how the line interacts with the coordinate grid, guiding you as you fill in the shaded region below your dashed line!