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.