ɪf ˈɛks ɪz fˈaɪnaɪt, ɪɾ ɪz kəmpˈækt; ænd ɪf ˈɛks ɪz ˈɪnfɪnət, ɪɾ ɪz nˌɑːt kəmpˈækt, sˈɪns ðə fˈæmɪli ʌv ˈɔːl ˈoʊpən sˈɛts fˈɔːɹmz ɐn ˈoʊpən kˈʌvɚ wɪð nˈoʊ fˈaɪnaɪt sˈʌbkʌvɚ.
If X is finite, it is compact; and if X is infinite, it is not compact, since the family of all open sets  forms an open cover with no finite subcover.