How can a reasonable faith be placed in the Being that inspired the Bible if it is "inspired" but not "inerrant"?

This question (and two related sub-questions) is directed towards **those who believe that the Bible is inspired but not inerrant**. I understand inerrant to simply mean "without error". "Inspired" tends to have more nuances in it's meaning and so a valid answer should include a short definitional statement describing "inspired" as well as one regarding "inerrant" if it is taken differently. If the Bible is not inerrant, i.e. if it contains errors, and yet is inspired by God does this not mean that the errors are inspired? 1) How and why would God inspire error without being deceptive or fallible? 2) Without an inspired and inerrant listing of Biblical error, how can one reliably discern Biblical error and should one make the effort if the error is inspired?