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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 \left| n + 6 \right|[/tex]

Sagot :

GinnyAnsweridn
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]
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