SAT Question 968e9e51: Linear Inequalities answer and explanation with Desmos solution

Choice D is correct. The solutions to the given system of inequalities is the set of all ordered pairs $(x,y)$ that satisfy both inequalities in the system. For an ordered pair to satisfy the inequality $y\le x$, the value of the ordered pair's $y$-coordinate must be less than or equal to the value of the ordered pair's $x$-coordinate. This is true of the ordered pair $(0,-1)$, because $-1\le 0$. To satisfy the inequality $y\le -x$, the value of the ordered pair's $y$-coordinate must be less than or equal to the value of the additive inverse of the ordered pair's $x$-coordinate. This is also true of the ordered pair $(0,-1)$. Because $0$ is its own additive inverse, $-1\le 0$. Therefore, the ordered pair $(0,-1)$ is a solution to the given system of inequalities.