Graphical Representations of Solutions for Linear Inequality in One Variable - JSS2 Mathematics Lesson Note

To graph the solution of a linear inequality in one variable on a number line:

• Draw a number line.
• Mark the critical value (the solution of the corresponding equation).
• Use an open circle for < or >, and a closed circle for ≤ or ≥.
• Shade the region where the inequality holds true.

Example 1: Graph 𝑥<2

• Draw a number line and mark the point 2.
• Use an open circle at 2 because 2 is not included.

• Shade the region to the left of 2.

   

Example 2: Graph 𝑥≤3

• Draw a number line and mark the point 3.
• Use a closed circle at 3 because 3 is included.
• Shade the region to the left of 3.