To solve the inequality \( x < \frac{37}{6} \), we simply need to determine the values of \( x \) that satisfy this condition.

1. The inequality tells us that \( x \) must be less than \( \frac{37}{6} \).
2. Calculating \( \frac{37}{6} \):

   \[
   \frac{37}{6} \approx 6.1667
   \]

3. Therefore, the solution to the inequality is:

   \[
   x < 6.1667
   \]

This means \( x \) can be any number less than approximately 6.1667.

Would you like more details or have any questions? Here are some related questions:

1. How do you solve inequalities involving fractions?
2. What is the difference between strict and non-strict inequalities?
3. How can you represent the solution of an inequality on a number line?
4. What are the steps to solve compound inequalities?
5. How do inequalities change when multiplied or divided by a negative number?

**Tip:** When solving inequalities, be mindful of the direction of the inequality sign, especially when multiplying or dividing by negative numbers.

Learn how to solve the inequality x < 37/6 with a detailed explanation. This problem covers basic concepts of inequalities and fraction calculations. Suitable for students in Grades 6-8.

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