IPA: /ɪnˌtɒlərəˈbɪləti/
KK: /ɪnˌtɑːlərəˈbɪləti/
The condition of being unable to be tolerated or accepted; extreme discomfort or annoyance.
The intolerability of the noise made it impossible for her to concentrate on her work.
Intolerability is formed from "in-" (meaning not), "tolerare" (meaning to endure or bear), and "-ability" (meaning the quality of being). The word describes the quality of being unable to endure or bear something.
Think of 'not' ('in-') being able to 'endure' ('tolerare') something, which helps you remember that 'intolerability' refers to the quality of being unable to tolerate.