Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Ask your questions and receive detailed answers from professionals with extensive experience in various fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

Simplify this math

|x − (−12)| if x < −12

Thank you!


Sagot :

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