1. The problem is to determine if the point $(1, -1)$ satisfies the inequality $y > x - 5$. 2. The inequality is $y > x - 5$. 3. Substitute the point coordinates into the inequality: $y = -1$, $x = 1$. 4. Evaluate the right side: $1 - 5 = -4$. 5. Check if $-1 > -4$. 6. Since $-1$ is greater than $-4$, the inequality is TRUE for the point $(1, -1)$. Final answer: TRUE