To solve the inequality $k + 11 < -3$, you need to subtract 11 from both sides to isolate $k$.

Here's the step-by-step process:

1. Start with the inequality:
   $k + 11 < -3$

2. Subtract 11 from both sides to eliminate the constant on the left: $k + 11 - 11 < -3 - 11$

3. Simplify the result: $k < -14$

Thus, the solution to the inequality is $k < -14$.

Would you like further clarification or details on this?

Here are 5 related questions to expand on the topic:

1. What happens when you divide or multiply an inequality by a negative number?
2. How do you solve inequalities with fractions?
3. Can you graph the solution of $k < -14$ on a number line?
4. What is the difference between solving an equation and an inequality?
5. How would the solution change if the inequality was $k + 11 \leq -3$?

Tip: Always reverse the inequality sign when multiplying or dividing both sides by a negative number.