Let U be the set of all people and M = {Males},
S = {College students},
T = {Teenagers}, W = {People having height more than five feet}.
Express each of the following in the notation of set theory.
(i) College student having heights more than five feet
(ii) People who are not teenagers and have their height less five feet
(iii) All people who are neither males nor teenagers nor college students.

Answer

`SnnW` (ii) `T' nn W'` (iii) `(MuuTuuS)`'

Explanation

U = Set of all people
M - {Males}
S = {College students}
T = {Teenagers}
W = {People having height more than 5 feet}
(i) College students having heights more than 5 feet = `S nn W`
(ii) People who are not teenagers and having their heights less than 5 feet = `T' nn W'`
(iii) All people who are neither males nor teenagers nor college students = `(MuuTuuS)'`