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Evaluate the following:

[tex]\[ ||-7|-|13-12|| \][/tex]


Sagot :

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]
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