How to get overlap range of two range

Question

I have the following ranges in interval [1-15]

I want to find the overlap ranges between people 1 & 2.

Person1 [1, 3] [5, 10] Person2 [2, 4] [8, 15]

Answer 1

Thanks for the clarification. What about something like this...

public static IList GetListIntersections(IList rangeList1, IList rangeList2)
{
    var intersection = new List();

    //add intersection of each range
    foreach (var x in rangeList1)
    {
        foreach (var y in rangeList2)
        {
            var intersect = GetIntersection(x, y);
            if (intersect != null)
            {
                intersection.Add(intersect);
            }
        }
    }

    //remove ranges that are subsets of other ranges
    intersection.RemoveAll(x => intersection.Any(y => y != x && y.Start >= x.Start && y.End <= x.End));

    return intersection;
}

public static Range GetIntersection(Range range1, Range range2)
{
    int greatestStart = range1.Start > range2.Start ? range1.Start : range2.Start;
    int smallestEnd = range1.End < range2.End ? range1.End : range2.End;

    //no intersection
    if (greatestStart > smallestEnd)
    {
        return null;
    }

    return new Range { Start = greatestStart, End = smallestEnd };
}