Given the inequality and the value provided for \( s \), let's substitute \( s = -6 \) into the inequality:

\[
3s \leq 19
\]

Substituting \( s = -6 \):

\[
3(-6) \leq 19
\]

This simplifies to:

\[
-18 \leq 19
\]

Since \(-18\) is indeed less than or equal to \( 19 \), the inequality holds true.

The inequality is satisfied for \( s = -6 \).

Would you like more details or have any questions?

Here are some related questions to consider:

1. What happens if the inequality is strict, like \( 3s < 19 \)?
2. How do you solve inequalities when \( s \) is an unknown variable?
3. What is the general approach for solving linear inequalities?
4. How does the inequality change if the coefficient of \( s \) is negative?
5. How would the inequality change if there was an additional constant term?

**Tip:** Always check if substituting a value into an inequality holds by simplifying both sides of the inequality.

Learn how to solve the linear inequality 3s ≤ 19 by substituting s = -6. This problem explores fundamental algebraic concepts like solving inequalities and checking solutions. Suitable for students in Grades 6-8.

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