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Write an expression to represent the given statement. Use [tex]$n$[/tex] for the variable.

Three times the absolute value of the sum of a number and 6.

[tex]3|n + 6|[/tex]

Sagot :

GinnyAnswer
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.
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