graphing linear inequalities - When graphing a linear inequality what does a dashed/ solid boundary line indicate?

Sangeetha Pulapaka (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Recall the four inequality signs

< , > , \geq, \leq

Step 2: Check the inequality given. If the inequality has a > or a < the boundary line is dashed one. This mean the inequality does not include that line. That means the equation can only be using either of the first two symbols > or <

Example y > 2 x + 3 or y < 2 x + 3 will result in a boundary line which is a dashed one

. On the other hand, a continuous line with no breaks means the inequality does include the boundary line. This is drawn the equation uses one of the last two symbols.\geq, \leq

For example y \geq 2 x + 3 and y \leq 2 x + 3 means that the line is a continuous/solid one.