There are two kinds of graphs, 1-dimensional and 2-dimensional (there are also 3-dimensional graphs too but you won't study them unless or until you take more advanced mathematics courses.) Either way we begin by solving the inequality: 4 - 2x < -2 -2x < -6 x > 3 If you are studying one-dimensional graphs (number lines) then the graph is on one number line: -----------------------------o================> -4 -3 -2 -1 0 1 2 3 4 5 6 7 The circle is open because the value 3 is not included, since 3 is not greater than itself. But if you're studying two-dimensional graphs you have two number lines, namely a horizontal one called "the x-axis" and a vertical number line called "the y-axis", and have this:Notice the green line is dotted and not solid on this 2-dimensional graph for the exact same reason that the circle is open and not closed on the one-dimensional (number line) graph. 3 is not greater than 3. Now there is no way to shade with this computer program I'm using, but the graph is supposed to be shaded to the right of the green dotted vertical line that passes through 3 on the x-axis. Edwin