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

To graph the inequality \(-2x + y + 4 < 9\), first, we simplify it to isolate \(y\): \(-2x + y < 5\) or \(y < 2x + 5\). Next, you'll want to graph the line \(y = 2x + 5\). Start by plotting the y-intercept at (0, 5) and another point by substituting an x-value, like \(x = -2\) (which gives you \(y = 1\)), resulting in the point (-2, 1). Draw a dashed line through these points because the inequality is strict (<) and does not include equals. Lastly, shade the area below the line, indicating all the points where \(y\) is less than \(2x + 5\). This represents the solution set for the inequality.