The correct solution to the inequality y - 3 < -2 is y<1.
Let's delve further into the solution process. Starting with the inequality y−3<−2, we aim to isolate the variable y. By adding 3 to both sides of the inequality, we effectively move the constant term on the left side to the right side:
y−3+3<−2+3.
This simplifies to y<1. The interpretation is that any real number for y that is less than 1 will satisfy the original inequality. Geometrically, on the number line, this solution corresponds to all the values to the left of 1. In this context, if you substitute any number less than 1 for y into the original inequality, you will obtain a true statement. Therefore, the solution set for y in the inequality y−3<−2 is y<1.