To solve the inequality \( 6(v - 1) < 18 \), follow these steps:

1. **Distribute the 6**:
   \[
   6v - 6 < 18
   \]

2. **Add 6 to both sides**:
   \[
   6v < 24
   \]

3. **Divide both sides by 6**:
   \[
   v < 4
   \]

Thus, the solution to the inequality is \( v < 4 \).

Do you want more details or have any questions?

Here are some related questions:
1. What happens if we change the inequality to \( 6(v - 1) \leq 18 \)?
2. How would the solution change if it were an equation instead: \( 6(v - 1) = 18 \)?
3. Can you graph the solution \( v < 4 \) on a number line?
4. What if the inequality were \( 6(v - 1) > 18 \)?
5. How can you check if a value satisfies the inequality?

**Tip:** When solving inequalities, remember that dividing or multiplying by a negative number reverses the inequality sign!

Learn how to solve the linear inequality 6(v - 1) < 18 with a clear, step-by-step guide. This algebra problem covers key concepts such as the distributive property and solving inequalities. Suitable for students in Grades 6-8.

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