To solve this problem, we need to translate the given verbal expression into a mathematical expression using the variable [tex]\( n \)[/tex].
1. Identify the components of the statement:
- "A number" can be represented by the variable [tex]\( n \)[/tex].
- "The sum of a number and 6" can be written as [tex]\( n + 6 \)[/tex].
- "The absolute value of the sum" can be represented using the absolute value notation, [tex]\( |n + 6| \)[/tex].
- "Three times the absolute value" means multiplying the absolute value by 3.
2. Combine these components:
- Start with the absolute value expression: [tex]\( |n + 6| \)[/tex].
- Multiply this expression by 3 to reflect "three times": [tex]\( 3 \times |n + 6| \)[/tex].
Thus, the mathematical expression representing "three times the absolute value of the sum of a number and 6" is:
[tex]\[ 3|n + 6| \][/tex]
Enter this expression in the box provided.
