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

While Gary is using an indirect method to prove that segment DE is not parallel to segment BC in the triangle ABC shown ( I attached below the picture that should have support your question). And If he starts with the assumption that segment DE is parallel to segment BC I am pretty sure that inequality which he will  use to contradict the assumption is the first option : 4:10 ≠ 6:14

4:10 ≠ 6:8 is the inequality among the options given in the question that Gary will use to contradict the assumption. The correct option among all the options that are given in the question is the third option. I hope that this is the answer you were looking for and it has come to your help.

59/96 is the ratio hope this not 100% sure though : /