When graphing a linear inequality you need to remember the following rules:
If the sign is > or < (greater or less than) the line is dotted
If the sign is ≥ or ≤ (greater than or equal, less than or equal to) the line is solid.
If the sign is > or ≥ you shade above the line
If the sign is < or ≤ you shade below the line
For example:
Graph Y< 4X - 3
You graph it like a line but since the
sign is < (less than) the line is dotted
and you need to shade below the line
Graph Y ≥ 3X + 4
You graph it like a line but since the sign is ≥ (greater than or equal) the line is solid and the you need to shade above the line.