Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression. 4 and 15

Step 1
Express the distance between the given numbers using absolute value. Then find the distance by evaluating the absolute value expression.
4 and 15
Step 2
We know that,the distance between p and q is given by ${\displaystyle \left|p-q\right|\text{or}\left|q-p\right|}$.
So, the distance between 4 and 15 is ${\displaystyle \left|4-15\right|\text{or}\left|15-4\right|}$
Now, for ${\displaystyle \left|4-15\right|}$
${\displaystyle \Rightarrow \left|4-15\right|=\left|-11\right|}$
${\displaystyle \Rightarrow \left|4-15\right|=11}$
Now, for ${\displaystyle \left|15-4\right|}$
${\displaystyle \Rightarrow \left|15-4\right|=\left|-11\right|}$
${\displaystyle \Rightarrow \left|15-4\right|=11}$
On solving both ${\displaystyle \left|4-15\right|\text{or}\left|15-4\right|}$ we get 11
Therefore,the distance between 4 and 15 is 11