To write an inequality from the statement "The sum of a number and 8 is greater than 11," let's break down the information step-by-step:
1. Identify the variable:
- Let the unknown number be represented by [tex]\( n \)[/tex].
2. Express the sum in words as a mathematical expression:
- The sum of the number and 8 is represented as [tex]\( n + 8 \)[/tex].
3. Translate "is greater than" into mathematical terms:
- "Is greater than" can be translated to the inequality symbol [tex]\( > \)[/tex].
4. Combine the expressions:
- The statement "The sum of a number and 8 is greater than 11" can be written as:
[tex]\[
n + 8 > 11
\][/tex]
Therefore, the correct inequality is [tex]\( n + 8 > 11 \)[/tex].
The correct answer is:
a. [tex]\( n+8>11 \)[/tex]