To solve the inequality \( 20x < 600 \):

1. Divide both sides of the inequality by 20 to isolate \( x \):

\[
x < \frac{600}{20}
\]

2. Simplify the division:

\[
x < 30
\]

Thus, the solution is \( x < 30 \).

### Do you want more details or have any questions about this solution? 

Here are 5 related questions for you to explore:
1. What is the solution to \( 15x \leq 300 \)?
2. How do you solve \( 10x > 100 \)?
3. Can you solve \( 25x + 5 \leq 130 \)?
4. What are the steps to solve \( 3x - 5 > 40 \)?
5. How do you represent the solution \( x < 30 \) on a number line?

**Tip:** When dividing or multiplying inequalities by a negative number, don't forget to reverse the inequality sign!

Learn how to solve the linear inequality 20x < 600 with a simple, step-by-step solution. This example demonstrates core algebraic techniques, including dividing both sides of an inequality. Ideal for students in Grades 6-8, the solution also includes tips on inequality rules.

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