Answer
See the graph
Work Step by Step
We are given
$4x+4 \gt 2y$
$\rightarrow y \lt 2x+2$
$3x-4y \geq 1$
$\rightarrow 4y \leq 3x-1$
$\rightarrow y \leq \frac{3}{4}x-\frac{1}{4}$
Graph the boundary lines $ y \lt 2x+2$ and $\frac{3}{4}x-\frac{1}{4}$
For $y \lt 2x+2$, use a dashed boundary line and shade below it. For $\frac{3}{4}x-\frac{1}{4}$, use a dashed boundary line and shade above it.
The bold pink region of overlap contains the system’s solutions.
