QuestionGraph the solution of the system of inequalities. $$\begin{array}{r} 2 x+4 y<8 \\ x-y<5 \end{array}$$
Use the graphing tool on the right to graph the system of inequalities.

Studdy Solution
Verify the solution region:
- Choose a test point in the overlapping region (e.g., $(0,0)$) and substitute it into both inequalities to ensure it satisfies both. - For $2x + 4y < 8$, substituting $(0,0)$ gives $0 < 8$, which is true. - For $x - y < 5$, substituting $(0,0)$ gives $0 < 5$, which is true.
The solution region is correctly identified on the graph.