To solve the inequality \( 2u + 2 < 10 \):

### Step 1: Subtract 2 from both sides.
\[
2u + 2 - 2 < 10 - 2
\]
\[
2u < 8
\]

### Step 2: Divide both sides by 2.
\[
\frac{2u}{2} < \frac{8}{2}
\]
\[
u < 4
\]

Thus, the solution is \( u < 4 \).

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. What happens if the inequality had been \( 2u + 2 \leq 10 \)?
2. How do you graph the solution \( u < 4 \) on a number line?
3. What if you encounter an inequality like \( -2u + 2 < 10 \)?
4. How does solving inequalities differ from solving equalities?
5. What changes when you multiply or divide both sides by a negative number?

**Tip**: When solving inequalities, remember to reverse the inequality sign if you multiply or divide by a negative number.

This page provides a detailed solution to the inequality 2u + 2 < 10, covering algebraic concepts such as inequalities and how to manipulate them using subtraction and division. The problem is suitable for students in Grades 6-8 and includes additional related questions for further practice.

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