The inequality "a number plus 8 is greater than 11" can be written algebraically as:

\[
x + 8 > 11
\]

Where \( x \) represents the unknown number. To solve for \( x \), follow these steps:

### Step 1: Subtract 8 from both sides of the inequality.
\[
x + 8 - 8 > 11 - 8
\]

### Step 2: Simplify the equation.
\[
x > 3
\]

### Final Answer:
The number \( x \) must be greater than 3 for the original statement to be true.

Do you want more details or have any questions about this?

Here are 5 related questions for further practice:
1. What is the solution to the inequality \( x + 5 > 12 \)?
2. How would you solve \( x - 4 > 7 \)?
3. Solve the inequality \( 2x + 8 > 14 \).
4. If a number minus 10 is greater than 0, what is the number?
5. What happens if we reverse the inequality: \( x + 8 < 11 \)?

**Tip:** When solving inequalities, treat them like equations, but be careful when multiplying or dividing by a negative number as it reverses the inequality sign.

Learn how to solve the inequality where a number plus 8 is greater than 11. This algebraic problem involves inequalities and is suitable for students in Grades 6-8. Follow the step-by-step solution to understand how to isolate the variable and find the number greater than 3.

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