Graph each of the inequalities in this system of inequalities, showing the solution set as overlapping half planes:
$\left\{\begin{array}{l}
x+y>3 \\
2 x-y \geq 1
\end{array}\right.$
Follow these steps:
- Put each inequality in slope-intercept form (isolating $y$).
- Graph the line for each inequality as if it were an equation, choosing solid or dashed form.
- Shade the regions.
- Find the overlapping region.
$\left\{\begin{array}{l}
x+y>3 \\
2 x-y \geq 1
\end{array}\right.$
Follow these steps: