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To solve the inequality \( 3f - 11 > 13 \), we can follow these steps:

1. **Isolate the variable term** by adding 11 to both sides of the inequality:

   \[
   3f - 11 + 11 > 13 + 11
   \]

   This simplifies to:

   \[
   3f > 24
   \]

2. **Solve for \( f \)** by dividing both sides by 3:

   \[
   f > \frac{24}{3}
   \]

   This simplifies to:

   \[
   f > 8
   \]

Thus, the solution is \( f > 8 \).

Would you like more details on how this works or have any other questions?

Here are 5 related questions for further exploration:
1. How would you solve the inequality if the variable term was negative, e.g., \( -3f - 11 > 13 \)?
2. Can you graph the solution \( f > 8 \) on a number line?
3. How would the inequality change if it were \( 3f - 11 \geq 13 \)?
4. What happens to the inequality if both sides are multiplied by a negative number?
5. How do you check if a value satisfies an inequality?

**Tip:** When multiplying or dividing both sides of an inequality by a negative number, remember to reverse the inequality sign!

Learn how to solve the inequality 3f - 11 > 13 step by step. This solution demonstrates isolating the variable and solving inequalities. Suitable for students in Grades 7-9.

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