Sorting list of lists by their first element in scheme

Question

I'm working on sorting a list of lists by their first element for example
(sort (list '(2 1 6 7) '(4 3 1 2 4 5) '(1 1))))

expected output => ('(1 1) '(2 1 6 7) '(4 3 1 2 4 5))

The algorithm I used is bubble sort. And I modified it to deal with lists. However, the code doesn't compile. The error is

mcar: contract violation
  expected: mpair?
  given: 4

Can someone correct my code and explain it. Thank you

 (define (bubble L)
        (if (null? (cdr L))   
            L    
            (if (< (car (car L)) (car (cadr L)))   
                (list (car L)
                      (bubble (car (cdr L))))   
                (list (cadr L)
                      (bubble (cons (car (car L)) (car (cddr L))))))))

    (define (bubble-sort N L)    
        (cond ((= N 1) (bubble L))   
              (else
               (bubble-sort (- N 1) (bubble L)))))

    (define (bubble-set-up L) 
        (bubble-sort (length L) L))


    (define t3 (list '(2 1 6 7) '(4 3 1 2 4 5) '(1 2 3) '(1 1)))
    (bubble-set-up t3)

Answer 1

I have fixed a few mistakes. There is at least one mistake left. Consider the case where L only contains one element.

#lang r5rs

(define (bubble L)
  (if (null? (cdr L))
      L    
      (if (< (car (car L)) (car (cadr L)))   
          (cons (car L)
                (bubble (cdr L)))
          (cons (cadr L)
                (bubble (cons (car L) (cddr L)))))))

(define (bubble-sort N L)    
  (cond ((= N 1) (bubble L))   
        (else
         (bubble-sort (- N 1) (bubble L)))))

(define (bubble-set-up L) 
  (bubble-sort (length L) L))


(define t3 (list '(2 1 6 7) '(4 3 1 2 4 5) '(1 2 3) '(1 1)))
(display (bubble-set-up t3))
(newline)

Answer 2

How about (sort (lambda (x y)(< (car x)(car y))) <YOUR_LIST>)?