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The inequality provided is:

\[
\frac{f}{4} < 8
\]

To solve for \( f \), we need to isolate it by eliminating the fraction. We can multiply both sides of the inequality by 4 to get rid of the denominator:

\[
f < 8 \times 4
\]

\[
f < 32
\]

So, the solution to the inequality is:

\[
f < 32
\]

Would you like more details or further clarifications?

Here are five related questions for further exploration:
1. What happens if the inequality were \( \frac{f}{4} \leq 8 \)?
2. How would the solution change if the inequality were \( \frac{f}{4} > 8 \)?
3. How can we represent the solution of \( f < 32 \) on a number line?
4. What if we added 2 to both sides of the original inequality? How would it affect the solution?
5. How does solving an inequality differ from solving an equation?

**Tip:** Always check if multiplying or dividing by a negative number is involved in inequalities, as it reverses the inequality sign.

Learn how to solve the inequality f/4 < 8 by isolating the variable f using the multiplication property of inequalities. This solution is suitable for students in Grades 6-8 and covers key algebraic concepts.

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