A central key in the whole task is gaining good control over which of >, <, <=, >= you need to use to compare different intervals, so to say whether either first's bottom is lower than second's top value or whether first's top is lower than second's bottom value. But this kind of interval comparison is only possible when you, as the second exercise, are able to boil the problem down to actual interval comparisons.
As I don't know how much linear algebra you need to catch up on here, please ask away for any furhter clarification, maybe I or even somebody else in this channel is able to take you through the task from where you stand in a more specific manner. cheers! mar77i
