Graphing Linear Inequalities on the Coordinate Plane Solutions

• To graph a linear    inequality    on the coordinate plane, determine if:

  • the line is    solid or dashed   .

  • the shading will be    above or below    the line.

• Graph the  y -intercept    and    slope    and extend the line across the graph.
• When graphing a    system    of inequalities, repeat these steps until    all    inequalities are graphed on the coordinate plane.

• The shaded overlapping    region   region represents all ordered pairs that make     every    inequality in the system    true   .

Example 1

Graph the linear inequality $\mathit{y}\mathbf{<}\mathbf{3}\mathit{x}\mathbf{–}\mathbf{1}$.

Example 2

Graph the system of inequalities.