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

question 189

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) \(\delta = 1.456\)