Question

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 the following in the notation of set theory.

People who are not teenagers and have their heights less than five feet.

• A. $S^{\prime }\cap W^{\prime }$
• B. $T^{\prime }\cap W^{\prime }$
• C. $S^{\prime }\cup W^{\prime }$
• D. $T^{\prime }\cup W^{\prime }$

Answer 1

Answer: (B)

$T^{\prime }\cap W^{\prime }$

$T:$ teenagers
$T^{\prime }:$ not teenagers
$W:$ height more than five feet
$W^{\prime }:$ height less than five feet
Therefore people who are not teenager and have their height less than five feet are $T^{\prime }\cap W^{\prime }$