Pause and Reflect
If the inequality is in standard form, how can you graph the inequality?
Interactive popup. Assistance may be required.
You can either solve the inequality for y and use slope-intercept rules to graph the boundary line, or you can use x- and y-intercepts to graph the boundary line. 
Why does the boundary line appear dashed when the inequality symbol is < or > and solid when the inequality symbols is ≤ or ≥?
Interactive popup. Assistance may be required.
When the inequality symbol is < or >, the points along the boundary line make the expressions equal, so the inequality is not true. These points are not included in the solution set.
When graphing one-variable inequalities on a number line, you used an open circle for inequalities containing < or > and a closed circle for inequalities containing ≤ or ≥. How is that similar to using a dashed or solid line for linear, two-variable inequalities?
Interactive popup. Assistance may be required.
The symbols < and > indicate that the solution set does not contain the boundary point(s), so an open circle or a dashed line indicates that the boundary point(s) is (are) not a part of the solution set. The symbols ≤ or ≥ include "or equal to," and the solution set includes the boundary point(s). A closed circle or a solid line indicates that the boundary point(s) is (are) a part of the solution set.
