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  • 03-04-2019
  • Mathematics
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What is the answer for |x|=9

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Аноним Аноним
  • 03-04-2019

The absolute value [tex]|x|[/tex] returns the "positive version" of a number.

In other words, if the number is positive, it remains positive; if the number is negative, it changes sign.

So, if we want [tex]|x|=9[/tex], we want the "positive version" of x to be 9.

This can happen in two ways: if x is already 9, then its absolute value is still nine. If instead x=-9, its positive value will be 9 again.

In formula, we have

[tex]|x|=9 \iff x=\pm 9[/tex]

because

[tex]|9|=9,\quad |-9|=9[/tex]

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