Answer
See the graph
Work Step by Step
Graph $2x- \frac{1}{4}y \lt 1 $ and $4x + 8y \gt 4$.
The A region represents solutions of $2x- \frac{1}{4}y \lt 1 $.
The B region represents solutions of $4x + 8y \gt 4$.
The C region represents solutions of both inequalities.