Question

y > -2x + 2
y ≤ x - 2
(0,0)
(0,-1)
(1,1)
(3,0)

Explanation:

Step1: Test (0,0) in inequalities

Check $0 > -2(0)+3$ → $0>3$ (False)
Check $0 \leq 0-2$ → $0\leq-2$ (False)

Step2: Test (0,-1) in inequalities

Check $-1 > -2(0)+3$ → $-1>3$ (False)
Check $-1 \leq 0-2$ → $-1\leq-2$ (False)

Step3: Test (1,1) in inequalities

Check $1 > -2(1)+3$ → $1>1$ (False)
Check $1 \leq 1-2$ → $1\leq-1$ (False)

Step4: Test (3,0) in inequalities

Check $0 > -2(3)+3$ → $0>-3$ (True)
Check $0 \leq 3-2$ → $0\leq1$ (True)

Answer:

(3,0)