To solve the inequality \( 5x - 10 < 15 \), follow these steps:

1. **Add 10 to both sides**:
   \[
   5x - 10 + 10 < 15 + 10
   \]
   \[
   5x < 25
   \]

2. **Divide both sides by 5**:
   \[
   \frac{5x}{5} < \frac{25}{5}
   \]
   \[
   x < 5
   \]

The solution to the inequality is \( x < 5 \).

Would you like more details or have any questions?

Here are 5 related questions:

1. How do you solve an inequality with a variable on both sides?
2. What happens if you multiply or divide both sides of an inequality by a negative number?
3. How do you graph the solution of the inequality \( x < 5 \) on a number line?
4. How do you solve the inequality \( 2(3x - 4) > 10 \)?
5. What are the key differences between solving equations and inequalities?

**Tip:** Always remember to flip the inequality sign when multiplying or dividing both sides by a negative number.

Learn how to solve the inequality 5x - 10 < 15 with a detailed step-by-step solution. This problem involves solving linear inequalities, including adding and dividing by constants. Suitable for students in Grades 7-9.

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