Sure, let's evaluate the expression step by step.
Given expression:
[tex]\[ |11 - 12| - |8| \][/tex]
1. Evaluate the absolute value of the first expression:
[tex]\[ |11 - 12| \][/tex]
Subtract 12 from 11:
[tex]\[ 11 - 12 = -1 \][/tex]
The absolute value of -1:
[tex]\[ |-1| = 1 \][/tex]
2. Evaluate the absolute value of the second expression:
[tex]\[ |8| \][/tex]
The absolute value of 8:
[tex]\[ 8 \][/tex]
3. Subtract the absolute values obtained:
[tex]\[ 1 - 8 = -7 \][/tex]
So, the value of the expression [tex]\(|11 - 12| - |8|\)[/tex] is [tex]\(-7\)[/tex].
