This week in Pre Calculus 11 we continued to learn about inequalities, specifically, graphing them. Inequalities are when two sides of an “equation” do not equate. Graphing inequalities is almost the same as graphing equalities, but with a few key differences. If the symbol is “≤” (less than or equal to) or “≥” (greater than or equal to), you draw a solid line on the equation, then either shade everything below the line or above the line, respectively. If the symbol is “<” or “>”, you draw a dotted line on the equation to indicate that it is not included, then shade everything below the line or above the line, respectively.

You can see here, because Y is less than or equal to the right side, the shaded area will be below the line, and the line will be solid, instead of dotted.

In the image on the left, Y is greater than the right side, therefore the line will be dotted, and the part above the line will be shaded.

In the image on the left, Y is less than the right side, therefore, the line will be dotted, and the shaded area will be below the line.