Answer
see graph
Work Step by Step
Using the intercepts and the test point $(0,0)$, the red graph is the graph of $
x+2y\le5
.$
The blue graph is the graph of $
x\le2
.$
The green graph is the graph of $
x\ge0
.$
The purple graph is the graph of $
y\ge0
.$
The solution set is the area common to all graphs (darkest shade).