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Simplify this math

|x − (−12)| if x < −12

Thank you!

Sagot :

VectorFundament120

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

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