Test if a range intersects another range of numbers

Question

I have 2 range of numbers:

• $startTime to $endTime
• $offerStartTime to $offerEndTime

Answer 1

After some time I have found an efficient simple solution that seems to work (feel free to tell me if it doesn't).

($offerStartTime <= $startTime && $offerEndTime > $startTime) ||
($offerStartTime > $startTime && $offerStartTime < $endTime)

I will also be looking at answers that are better than mine, so please still send me your solution.