Write an inequality from the statement: The sum of a number and 8 is greater than 11.

Select one:
a. [tex]n + 8 \ \textgreater \ 11[/tex]
b. [tex]n - 8 \ \textless \ 11[/tex]
c. [tex]n + 8 \ \textless \ 11[/tex]
d. [tex]n + 11 \ \textgreater \ 8[/tex]



Answer :

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]