Explaining a gap after caregiving or layoff (Chicago)

My résumé shows a gap from a layoff and some health issues. I am nervous about being filtered out. What do you say in interviews?

I was hired after a 14-month gap. The manager said the skills test mattered more than the dates.

Thanks for writing this out. I went through something close to it last year, and it got easier once I kept a simple log of every call and form.