Question

U is the set of positive integers less than

18. G is the set of positive factors of 12.
What is the complement of set G in
universe U.

Answer 1

G' ={1,5,7,8,9,10,11,13,14,15,16,17}

Explanation:

U is the set of positive integers less than 18.

U ={1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17}

G is the set of positive factors of 12

G ={2,3,4,6,12}

Now we have to find the complement of set G.

The complement of G is the set of all element in the universal set U, but not in G. We can write G^c or G'.

G' = U - G

G' = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17} - {2,3,4,6,12}

G' ={1,5,7,8,9,10,11,13,14,15,16,17} .....