Exercise 1a1. Pick out the well-defined sets from the following:(i) A = test cricket captains of Pakistan(ii) B = tasty food items(iii) C = prime ministers of Pakistan(iv) D = naughty students in your class(v) E = mathematics teachers in your school(vi) F = large numbers)(vii) G = capital of the province you live in(viii) H = games you like playingOXFORD?

Answers (1)

?A set is well-defined if there is no doubt whether an element belong to set or not , i.e. a set is defined so that we can clearly say whether each and every object belong to set or not. 

Example: S = Badminton, Cricket, Hockey, Golf, Chess is well-defined since it is clear that each element is type of sports so it is well defined set.

Excercise1a1. Pick out the well-defined sets from the following

(i) A = test cricket captains of Pakistan: It is well-defined set 

(ii) B = tasty food items: It is not well-defined set because taste of food depends on personal so we cannot say it is well-defined set

(iii) C = prime ministers of Pakistan: It is well-defined set 

(iv) D = naughty students in your class: It is not well-defined set because every student say other student a naughty student so we cannot say it is well-defined set 

(v) E = mathematics teachers in your school: It is well-defined set 

(vi) F = large numbers): It is not well-defined set 

(vii) G = capital of the province you live in: It is well-defined set 

(viii) H = games you like playing: It is well-defined set 

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