Source : Webster's Revised Unabridged Dictionary (1913)

Ineligible \In*el"i*gi*ble\, a. [Pref. in- not + eligible: cf.
   F. in['e]ligible.]
   Not eligible; not qualified to be chosen for an office; not
   worthy to be chosen or prefered; not expedient or desirable.
   --Burke.

Source : WordNet®

ineligible
     adj 1: not eligible; "ineligible to vote"; "ineligible for
            retirement benefits" [ant: {eligible}]
     2: prohibited by official rules; "an ineligible pass receiver"