The solutions to the inequality y ≤ −x + 1 are shaded on the graph. which point is a solution?

(2, 3)
(3, –2)
(2, 1)
(–1, 3)

Answer
(3, –2) 

Explanation
The solutions must satisfy the inequality given. In the question the inequality is 

y ≤ −x + 1. Since you have not been provided with the graph, you can use substitution to find the point that will satisfy the inequality.
(2, 3) ⇒ 3≤-2+1
             3≤ -1                         (false) 

(3, –2) ⇒ -2≤ -3+1
                -2≤-2                     (True)

(2, 1) ⇒ 1≤-2+1
              1≤-1                      (False)

(–1, 3) ⇒ 3≤--1+1
                3≤2                    (False)

Y < = -x + 1subbing in (3,-2)
-2 < = -3 + 1
-2 < = -2 (true)