Answer
See the graph
Work Step by Step
Given: $x+y\geq3$
$\rightarrow y\geq-x+3$
The solution is the boundary line and anything above it.
$4x+y \lt 4$
$\rightarrow y \lt -4x+4$
The solution is below the (dashed) boundary line.
The area where the regions overlap is the solution.
