Step1
Auxiliary equations are x+y=2 , -x+y=2 ,y=-2
For those make tables.
Step2
Then draw the lines using the tables. Plot the points and join using lines.
Then shade according to the inequalities. Since all inequalities hold equalities so all lines are solid lines.
Every inequality is less than equal to. So shade downwards for all.
Answer: Solution region (shaded in black)