Question

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 1

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

Answer 2

answer
(3, –2)

Step-by-step 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)