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Creating an open top box
The inequality -6 > x+5 can be rewritten -11 > x (by subtracting five from each side) or rather x < -11. To graph this on a number line, draw an open circle over the number -11 (if the inequality included "or equal to" the circle would be filled in). Then draw a line/arrow coming out of the circle over the number line. The line should only be drawn over the portion of the number line that makes the inequality true. For instance, choose a test point. When x is -20, the inequality is true: -20 < -11. So in this case, the arrow coming out of the open circle will point to the left, in the direction that the number line is getting smaller.
5x > -20 divide both sides by 5; x > -4 On a number line graph all real numbers to the right of -4 and use an open dot at -4 to indicate that -4 is not a solution.
We assume you are graphing on a number line, not an x-y plane. Draw an "open" circle (not filled in) at -4, and a line from it across to the right end of the number line. Put an arrow on the end of the line to show that the graph continues to the right.
An open or closed circle are used to graph an inequality in one variable. An open circle is used if the value at the end point is excluded from the feasible region while a closed circle is used if the value at that point is within the accepted region.