Directions for graphing inequalities in two variables

To graph inequalities in two variables, you must know and do the following:

1. Make sure the inequality is solved for y. Example: y ≤ 2 3 x + 1.
2. Graph the equation of the line for the inequality.
3. The line of the graph will depend on the symbol:
   
   > or <
   Use a dashed line with the greater or less than symbols. The ordered pairs on the dashed line are NOT a part of the solution.
   
   ≥ or ≤
   Use a solid line with the greater than or equal to or less than or equal to symbols. The ordered pairs on the solid line are a part of the solution.
4. Choose an ordered pair on both sides of the line.
5. Substitute the ordered pair into the original inequality to determine which part or side of the line should be shaded.
6. Shade the side of the graph that yields the correct solution when the ordered pair is substituted.