Answer
$-2.01\lt x \lt -1.99$
$\delta = 0.01$
Work Step by Step
We solve the inequality:
$|2x-2+6|\lt 0.02$
$-0.02\lt|2x+4|\lt 0.02$
$-0.01\lt|x+2|\lt 0.01$
$-2.01\lt x \lt -1.99$
Finding $\delta$:
$|x--2|\lt \delta$
$-\delta-2\lt x \lt \delta-2$
$\delta=0.01$
