Simple insertion into an ordered List

Insert.scala

val li=List(1,2,10,20,30)                         //> li  : List[Int] = List(1, 2, 10, 20, 30)

def insert[T](li:List[T],x:T)(implicit cmp:Ordering[T])={
 val (first,last)=li.partition {cmp.lteq(_, x) }
 first:::x::last
}                                                 //> insert: [T](li: List[T], x: T)(implicit cmp: Ordering[T])List[T]

insert(li,11)                                     //> res0: List[Int] = List(1, 2, 10, 11, 20, 30)
insert(li,10)                                     //> res1: List[Int] = List(1, 2, 10, 10, 20, 30)
insert(li,9)                                      //> res2: List[Int] = List(1, 2, 9, 10, 20, 30)
insert(li,0)                                      //> res3: List[Int] = List(0, 1, 2, 10, 20, 30)
insert(li,999)                                    //> res4: List[Int] = List(1, 2, 10, 20, 30, 999)

insert(List('a','b','m','z'),'l')                 //> res5: List[Char] = List(a, b, l, m, z)

unfortunately, partition will not exploit the fact that it is sorted and it can binary-searched into