1. The problem is to solve the inequality $X - y < 2$ for $y$. 2. Start with the inequality: $$X - y < 2$$ 3. To isolate $y$, subtract $X$ from both sides: $$X - y - X < 2 - X$$ $$\cancel{X} - y - \cancel{X} < 2 - X$$ $$-y < 2 - X$$ 4. Now, multiply both sides by $-1$ to solve for $y$. Remember, multiplying an inequality by a negative number reverses the inequality sign: $$-1 \times (-y) > -1 \times (2 - X)$$ $$y > -2 + X$$ 5. Simplify the right side: $$y > X - 2$$ 6. Therefore, the solution to the inequality $X - y < 2$ is: $$y > X - 2$$ This means $y$ must be greater than $X - 2$ for the inequality to hold true.