Question

y ≤ -x + 1
y > x

○ (-3, 5)
○ (-2, 2)
○ (-1, -3)
○ (0, -1)

Explanation:

Step1: Test (-3,5) in inequalities

First inequality: $5 \leq -(-3)+1 \implies 5 \leq 4$ (False)
Second inequality: $5 > -3$ (True)

Step2: Test (-2,2) in inequalities

First inequality: $2 \leq -(-2)+1 \implies 2 \leq 3$ (True)
Second inequality: $2 > -2$ (True)

Step3: Test (-1,-3) in inequalities

First inequality: $-3 \leq -(-1)+1 \implies -3 \leq 2$ (True)
Second inequality: $-3 > -1$ (False)

Step4: Test (0,-1) in inequalities

First inequality: $-1 \leq -(0)+1 \implies -1 \leq 1$ (True)
Second inequality: $-1 > 0$ (False)

Answer:

B. (-2, 2)