Given:
x + y ≤ 2 (Equation 1)
x ≥ 1 (Equation 2)
Step 1: Let's first determine the points (at leat 2) that past through the graph.
For x + y ≤ 2,
At x = 0,
0 + y = 2
y = 2
Point 1 : 0, 2
At y = 0,
x + 0 = 2
x = 2
Point 2 : 2, 0
For x ≥ 1 ,
This is a vertical line graph.
At x = 1
Point 1 : 1, 0
Step 2: Let's now plot the graph.
Take note on graphing:
< or > dashed line
≤ or ≥ solid line
> or ≥ shaded at top
< or ≤ shaded at bottom
We get,