The inequality you provided is:

\[
\frac{1}{2}x < 6
\]

To solve this inequality, follow these steps:

### Step 1: Eliminate the fraction
Multiply both sides of the inequality by 2 to get rid of the fraction:

\[
2 \times \frac{1}{2}x < 2 \times 6
\]

This simplifies to:

\[
x < 12
\]

### Solution:
The solution to the inequality is:

\[
x < 12
\]

Would you like any further details or clarification?

Here are 5 related questions for further practice:
1. Solve the inequality \( \frac{1}{3}x \leq 9 \).
2. Solve \( \frac{1}{4}x + 2 < 10 \).
3. What is the solution to \( \frac{3}{4}x > 12 \)?
4. Solve the compound inequality \( \frac{1}{2}x > 4 \text{ and } x - 3 < 10 \).
5. How do you solve \( \frac{1}{2}x + 1 \geq 7 \)?

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

Learn how to solve the inequality 1/2x < 6 with a clear step-by-step guide. This problem focuses on the algebraic manipulation of inequalities and multiplication techniques to eliminate fractions. Suitable for students in Grades 6-8.

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