Answer
$3.99 \lt x \lt4.01$
$\delta = 0.01$
Work Step by Step
We solve the inequality:
$|x+1 - 5|\lt 0.01$
$-0.01 \lt|x-4|\lt0.01$
$3.99 \lt|x| \lt4.01$
$3.99 \lt x \lt4.01$
Finding $\delta$:
$|x-4|\lt \delta$
$-\delta+4\lt x \lt \delta+4$
$\delta=0.01$
