Answer:
Yes
Step-by-step explanation:
The irrelevant alternative criterion applies when the choice between A and B candidates is "spoilt" by an X candidate. For example, if A is preferred to B candidate and an introduction of X candidate shifts preference to the B candidate then the law of independent alternative criterion has been contradicted. In the example given in the question, the elimination of A candidate may cause the introduction of X candidate which may cause B candidate to be preferred or win.