Find the value of ||5-11|-9|.

Given:

Given expression is $||5-11|-9|$.

To do:

We have to simplify the given expression.

Solution:

The absolute value of a number is represented in the form as |x|. It represents the distance between x and 0 on the number line. The equation for absolute value is mentioned below.

$|x|=x, if x>0$

   $=0, if x=0$

   $=-x, if x<0$

$||5-11|-9| = | |-6| -  9 |$

                $= | |6 - 9| |$

                $= |-3|$

               $= 3$

Therefore, $||5-11|-9|=3$.

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Updated on: 10-Oct-2022

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