Certainly! Let's evaluate the given expression step-by-step.
The expression to evaluate is:
[tex]$
||-7| - |13 - 12||
$[/tex]
1. Calculate [tex]\( |-7| \)[/tex]:
The absolute value of [tex]\(-7\)[/tex] is [tex]\(7\)[/tex].
[tex]$
|-7| = 7
$[/tex]
2. Calculate [tex]\( |13 - 12| \)[/tex]:
First, perform the subtraction inside the absolute value.
[tex]$
13 - 12 = 1
$[/tex]
Now find the absolute value of [tex]\(1\)[/tex].
[tex]$
|1| = 1
$[/tex]
3. Subtract the absolute values:
Now subtract [tex]\( |13 - 12| \)[/tex] from [tex]\( |-7| \)[/tex].
[tex]$
7 - 1 = 6
$[/tex]
4. Calculate the absolute value of the result:
Finally, find the absolute value of the result from the subtraction.
[tex]$
|6| = 6
$[/tex]
Therefore, the evaluated result of the given expression is:
[tex]$
||-7| - |13 - 12|| = 6
$[/tex]
