To solve the inequality $x - 12 < -11$, follow these steps:

1. Isolate the variable $x$: Add 12 to both sides of the inequality to get rid of the -12 on the left side:

   $x - 12 + 12 < -11 + 12$

   This simplifies to:

   $x < 1$

So, the solution to the inequality is:

$x < 1$

Want more details or have any questions about this process?

Here are 5 related questions:

1. What is the difference between solving an equation and an inequality?
2. How would you graph the solution to this inequality on a number line?
3. What happens if you multiply or divide both sides of an inequality by a negative number?
4. How do you solve an inequality like $2x + 5 \geq 3$?
5. How can you check if a solution to an inequality is correct?

Tip: Always remember that adding or subtracting the same number on both sides of an inequality doesn’t change the direction of the inequality, but multiplying or dividing by a negative number does!