Sure! Let's break down the given statement step-by-step.
1. Identify the variable: We are asked to use [tex]\( n \)[/tex] as the variable.
2. Sum of a number and 6: Express this verbally described sum mathematically as [tex]\( n + 6 \)[/tex].
3. Absolute value of the sum: The absolute value function is denoted by vertical bars [tex]\( | \cdot | \)[/tex]. So, the absolute value of [tex]\( n + 6 \)[/tex] can be written as [tex]\( |n + 6| \)[/tex].
4. Three times the absolute value: Multiplying the absolute value by 3 gives us [tex]\( 3 \times |n + 6| \)[/tex].
Putting it all together, the expression that represents "three times the absolute value of the sum of a number and 6" is:
[tex]\[ 3 |n + 6| \][/tex]
