Gary is using an indirect method to prove that segment de is not parallel to segment bc in the triangle abc shown below:

a triangle abc is shown. d is a point on side ab and e is a point on side ac. points d and e are joined using a straight line. the length of ad is equal to 4, the length of db is equal to 6, the length of ae is equal to 6 and the length of ec is equal to 8.

he starts with the assumption that segment de is parallel to segment bc.

which inequality will he use to contradict the assumption?

4: 10 ≠ 6: 14
4: 6 ≠ 6: 14
4: 10 ≠ 6: 8
4: 14 ≠ 6: 10