Given the Interval $( a , b )$ On The $x$ -Axis with the Point

Multiple Choice

Given the interval $( a , b )$ on the $x$ -axis with the point $c$ inside, find the greatest value for $\delta > 0$ such that for all $x$ ,
$0 < | x - c | < \delta \Rightarrow a < x < b \text {. }$
- $$a = 1.348 , b = 2.804 , c = 1.869$$

A) $\delta = 0.935$
B) $\delta = 0.521$
C) $\delta = 1$
D) $\delta = 1.456$