Answer
See the graph
Work Step by Step
We are given
$x+0.5y \geq 5.5$
$ \rightarrow 0.5y \geq 5.5 - x$
$\rightarrow y \geq 11 -2x$
$0.5x + y \lt 6.5$
$\rightarrow y \leq -0.5x + 6.5$
Graph the boundary lines $y \geq 11 -2x$ and $ y \leq -0.5x + 6.5$
For $y \geq -2x+11$, use a solid boundary line and shade above it. For $ y \leq -0.5x + 6.5$, use a dashed boundary line and shade below it.
The bold pink region of overlap contains the system’s solutions.
