Group by range using linq

how can we use groupped ranges for equal or greater than ?

var data = new[] {
    new { Id = 0, Price = 2 },
    new { Id = 1, Price = 10 },
    new { Id = 2, Price = 30 },
    new { Id = 3, Price = 50 },
    new { Id = 4, Price = 120 },
    new { Id = 5, Price = 200 },
    new { Id = 6, Price = 1024 },
};

var ranges = new[] { 10, 50, 100, 500 };
var grouped = data.GroupBy( x => ranges.FirstOrDefault( r => r > x.Price ) );

grouped ouput is 
price 10-50 -> 3 
price 50-100 -> 1 
price 100-500 -> 2 

Needed output is grouped by equal or greater than the range used

price >= 10 -> 6
price >= 50 -> 4
price >= 100 -> 3
price >= 500 -> 1