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Answer:
-x-12
Step-by-step explanation:
Given:
[tex]\displaystyle \large{|x-(-12)| \quad (x < -12)}[/tex]
Simplify:
We know that negative times negative equals positive, therefore:
[tex]\displaystyle \large{|x+12| \quad (x < -12)}[/tex]
Modulus Property:
[tex]\displaystyle \large{|x+a| = \begin{cases} x+a \quad (x \geq -a) \\ -x-a \quad (x < -a) \end{cases}}[/tex]
Therefore, since given interval is x < -12:
[tex]\displaystyle \large{|x+12| \quad (x < -12) = -x-12}[/tex]
Hence, simplified expression is -x - 12
Answer:
-x-12
Step-by-step explanation:
The simply answer