Answer :

Given: Y = {x | x is a positive factor of the number 2p – 1(2p – 1), where 2p – 1 is a prime number}.


To find: Roster form of given set


Only possible positive factors of a prime number p are 1 and p itself.


Possible factors of 2p – 1 (2p – 1) are all possible factors of 2p – 1 and 2p – 1 individually.


Possible factors of 2p – 1 are 20, 21,………, 2p – 1 and that of 2p – 1 are 1 and 2p – 1 { 2p – 1 is prime number}


Hence,


x = 1, 21,………, 2p – 1, 2p – 1


So, Y = {1, 21,………, 2p – 1, 2p – 1}


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