Graphing an Inequality on a Number Line
The graph of a one-variable inequality is a visual representation of the inequality's , which can be drawn on a in three steps:
- Identify if the inequality is .
- Draw the ;
Shade the rest of the solution set.
- use an open point for strict or
- use a closed point for non-strict.
An arrow in either direction indicates that all numbers in that direction are part of the solution set.
The inequality is graphed with a closed circle at and an arrow pointing to the right. Since solves the inequality, the circle is closed. Additionally, the direction of the arrow points toward numbers greater than , since the is