var numbers1to10 = new[] {1,2,3,4,5,6,7,8,9,10};
var numbers5to15 = new[] {5,6,7,8,9,10,11,12,13,14,15};

var numbers5to10 = numbers1to10.Intersect(numbers5to15);

Console.WriteLine(string.Join(",", numbers5to10));

//5,6,7,8,9,10