You are given the inequality:

\[
11 + 14s \leq 17
\]

Let's solve it step by step.

1. Subtract 11 from both sides:
   \[
   14s \leq 17 - 11
   \]
   \[
   14s \leq 6
   \]

2. Divide both sides by 14:
   \[
   s \leq \frac{6}{14}
   \]
   Simplify the fraction:
   \[
   s \leq \frac{3}{7}
   \]

So, the solution is:
\[
s \leq \frac{3}{7}
\]

Would you like more details, or do you have any questions?

Here are 5 related questions you could explore:

1. What happens if we reverse the inequality symbol?
2. How do we solve inequalities when there are negative coefficients?
3. What are the differences between strict inequalities and non-strict inequalities?
4. Can you graph the solution on a number line?
5. How do you solve inequalities with variables on both sides?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing by a negative number.

Learn how to solve the linear inequality 11 + 14s ≤ 17 with a detailed step-by-step solution. This problem covers key algebraic concepts such as inequalities, linear equations, and simplification. Suitable for students in Grades 6-8.

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