Which region describes the solution to the system of inequalities? x+y≤5 x−y≤1

Rewrite the inequalities in terms of y: x + y ≤ 5 gives y ≤ 5 − x, so the solution is on or below that line. Also, x − y ≤ 1 gives y ≥ x − 1, so the solution is on or above the line x − y = 1. Together, these describe the region below or on one line and above or on the other, as in choice A.

AI-written and checked against the verified answer.